Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4350s |
Isogeny class |
Conductor |
4350 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
1422366480000000 = 210 · 36 · 57 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-70713,6977031] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:3152:1] |
Generators of the group modulo torsion |
j |
2502660030961609/91031454720 |
j-invariant |
L |
4.3454321631151 |
L(r)(E,1)/r! |
Ω |
0.47605560988182 |
Real period |
R |
0.30426642552634 |
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 |
34800dh1 13050i1 870b1 126150z1 |
Quadratic twists by: -4 -3 5 29 |