Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
4312k |
Isogeny class |
Conductor |
4312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-1249993330432 = -1 · 28 · 79 · 112 |
Discriminant |
Eigenvalues |
2- 2 4 7- 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4916,-141532] |
[a1,a2,a3,a4,a6] |
j |
-1272112/121 |
j-invariant |
L |
4.5366752901041 |
L(r)(E,1)/r! |
Ω |
0.28354220563151 |
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 |
8624d1 34496z1 38808bb1 107800t1 |
Quadratic twists by: -4 8 -3 5 |