Atkin-Lehner |
2- 5+ 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
72850l |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
408 |
Product of Tamagawa factors cp |
Δ |
1.0892322257819E+32 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 2 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1814065658730,-940431884774358103] |
[a1,a2,a3,a4,a6] |
Generators |
[458549840741:508646910601315:205379] |
Generators of the group modulo torsion |
j |
42253500307489549085309378703977943081/6971086245003894966108160000 |
j-invariant |
L |
6.9799011049104 |
L(r)(E,1)/r! |
Ω |
0.0041137349692842 |
Real period |
R |
16.634616348302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002437 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14570c2 |
Quadratic twists by: 5 |