Atkin-Lehner |
2+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73034c |
Isogeny class |
Conductor |
73034 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
54812160 |
Modular degree for the optimal curve |
Δ |
1.873301625588E+27 |
Discriminant |
Eigenvalues |
2+ 2 2 2 2 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1090240374,-13698876008620] |
[a1,a2,a3,a4,a6] |
Generators |
[85338543558640710172150365707466812467665256517734539583008671377604466881862357301793778541336406448311540969566501446129617343557896150447271202027427469352005765868229816931164057994102880410043637550473553338408228991138220:229516008768731947227990893415323307084038496423603804357000932881018720959011494530836278985356566653088172422491808639297017441672631314961595677717545715725150904481464794816295063672954148932280739925528914177603125073183530:2240872905173580076023991927117149491663886654268264542879283293267570806296206532305110786668565238348508429719094241727624974151392273623557627841989356140567408670553921432261774776007261383507437320304175202668671154301] |
Generators of the group modulo torsion |
j |
6465993709280560906177/84518638488387584 |
j-invariant |
L |
9.1169838339072 |
L(r)(E,1)/r! |
Ω |
0.026294350612425 |
Real period |
R |
346.72785680431 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1378b1 |
Quadratic twists by: 53 |