Atkin-Lehner |
2- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40300i |
Isogeny class |
Conductor |
40300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
73080 |
Modular degree for the optimal curve |
Δ |
-1007500000000 = -1 · 28 · 510 · 13 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 -4 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8333,-299537] |
[a1,a2,a3,a4,a6] |
j |
-25600000/403 |
j-invariant |
L |
0.74882433244342 |
L(r)(E,1)/r! |
Ω |
0.24960811080018 |
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 |
40300k1 |
Quadratic twists by: 5 |