Atkin-Lehner |
2- 3- 11+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
95238cd |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
266240 |
Modular degree for the optimal curve |
Δ |
40085795342736 = 24 · 316 · 112 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13829,550253] |
[a1,a2,a3,a4,a6] |
j |
401179812928777/54987373584 |
j-invariant |
L |
4.9679492075083 |
L(r)(E,1)/r! |
Ω |
0.62099367318393 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31746t1 |
Quadratic twists by: -3 |