Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800ja |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
12579840 |
Modular degree for the optimal curve |
Δ |
-4.1652670316544E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 5 -5 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58604408,198626911188] |
[a1,a2,a3,a4,a6] |
j |
-1231272543361/230400000 |
j-invariant |
L |
2.3958695455511 |
L(r)(E,1)/r! |
Ω |
0.074870923394166 |
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 |
7350k1 11760bs1 58800ez1 |
Quadratic twists by: -4 5 -7 |