Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126150cg |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
171485156250000 = 24 · 32 · 511 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-423838,-106380469] |
[a1,a2,a3,a4,a6] |
Generators |
[48500:160593:64] |
Generators of the group modulo torsion |
j |
22095784790981/450000 |
j-invariant |
L |
8.9271429200942 |
L(r)(E,1)/r! |
Ω |
0.18711133920062 |
Real period |
R |
5.963790656128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077351 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25230i1 126150bi1 |
Quadratic twists by: 5 29 |