Atkin-Lehner |
3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
113925cj |
Isogeny class |
Conductor |
113925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
23363525390625 = 32 · 512 · 73 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1765776,902985073] |
[a1,a2,a3,a4,a6] |
j |
113609864431873783/4359375 |
j-invariant |
L |
0.99984350952262 |
L(r)(E,1)/r! |
Ω |
0.49992186562846 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22785d1 113925r1 |
Quadratic twists by: 5 -7 |