Atkin-Lehner |
2- 3+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
35376p |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
32276496384 = 214 · 35 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5544,-156816] |
[a1,a2,a3,a4,a6] |
Generators |
[100:528:1] |
Generators of the group modulo torsion |
j |
4601630708137/7880004 |
j-invariant |
L |
3.5716969146125 |
L(r)(E,1)/r! |
Ω |
0.55332703771096 |
Real period |
R |
3.2274736920389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4422g1 106128by1 |
Quadratic twists by: -4 -3 |