Atkin-Lehner |
2- 3- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
109980s |
Isogeny class |
Conductor |
109980 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
698880 |
Modular degree for the optimal curve |
Δ |
-21304252690110000 = -1 · 24 · 320 · 54 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-162192,-26103899] |
[a1,a2,a3,a4,a6] |
Generators |
[657958401100:-5071352565249:1331000000] |
Generators of the group modulo torsion |
j |
-40454281168420864/1826496286875 |
j-invariant |
L |
7.4284274234288 |
L(r)(E,1)/r! |
Ω |
0.11863639911735 |
Real period |
R |
15.653769574884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004739 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36660d1 |
Quadratic twists by: -3 |