Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
10608q |
Isogeny class |
Conductor |
10608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
91430352 = 24 · 32 · 133 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -2 13+ 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-749,-7632] |
[a1,a2,a3,a4,a6] |
Generators |
[32:12:1] |
Generators of the group modulo torsion |
j |
2908230909952/5714397 |
j-invariant |
L |
3.0213446618493 |
L(r)(E,1)/r! |
Ω |
0.91260334500022 |
Real period |
R |
3.3106876918674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2652e1 42432cp1 31824u1 |
Quadratic twists by: -4 8 -3 |