Atkin-Lehner |
3+ 5+ 23+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
122475d |
Isogeny class |
Conductor |
122475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
135936 |
Modular degree for the optimal curve |
Δ |
28705078125 = 32 · 59 · 23 · 71 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 -1 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1258,15543] |
[a1,a2,a3,a4,a6] |
j |
14102327296/1837125 |
j-invariant |
L |
4.5497398973059 |
L(r)(E,1)/r! |
Ω |
1.1374346760664 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24495j1 |
Quadratic twists by: 5 |