Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
31248bo |
Isogeny class |
Conductor |
31248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
2.9764385968223E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1353099,-546000838] |
[a1,a2,a3,a4,a6] |
j |
91753989172452937/9968032637892 |
j-invariant |
L |
2.255462805097 |
L(r)(E,1)/r! |
Ω |
0.14096642531873 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3906s1 124992fc1 10416t1 |
Quadratic twists by: -4 8 -3 |