Atkin-Lehner |
2- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
3760p |
Isogeny class |
Conductor |
3760 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
6160384000 = 220 · 53 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- 1 -3 5 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-92360,-10773008] |
[a1,a2,a3,a4,a6] |
j |
21272583599722441/1504000 |
j-invariant |
L |
1.6431584101292 |
L(r)(E,1)/r! |
Ω |
0.27385973502154 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
470b1 15040ba1 33840bo1 18800s1 |
Quadratic twists by: -4 8 -3 5 |