Atkin-Lehner |
2+ 7+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
125902c |
Isogeny class |
Conductor |
125902 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1253376 |
Modular degree for the optimal curve |
Δ |
-490525222022416 = -1 · 24 · 74 · 176 · 232 |
Discriminant |
Eigenvalues |
2+ -2 -3 7+ 0 5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-197915,-33922698] |
[a1,a2,a3,a4,a6] |
Generators |
[540:3821:1] [635:9508:1] |
Generators of the group modulo torsion |
j |
-1620693975524301337/927268850704 |
j-invariant |
L |
5.089880631651 |
L(r)(E,1)/r! |
Ω |
0.11317102279578 |
Real period |
R |
5.6218903345567 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999960526 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125902k1 |
Quadratic twists by: -23 |