Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
29600x |
Isogeny class |
Conductor |
29600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
59200000000 = 212 · 58 · 37 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 -3 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55133,-4964363] |
[a1,a2,a3,a4,a6] |
Generators |
[-3651:100:27] |
Generators of the group modulo torsion |
j |
289591952896/925 |
j-invariant |
L |
2.5572157311557 |
L(r)(E,1)/r! |
Ω |
0.31156314228419 |
Real period |
R |
2.0519241400056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29600e1 59200f1 5920g1 |
Quadratic twists by: -4 8 5 |