Atkin-Lehner |
2+ 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
28830c |
Isogeny class |
Conductor |
28830 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
87436800 |
Modular degree for the optimal curve |
Δ |
-4.7196777551154E+30 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -5 -2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-9995119328,-398572245715968] |
[a1,a2,a3,a4,a6] |
j |
-124427822010671478697670089/5317924709672681472000 |
j-invariant |
L |
0.37653716470588 |
L(r)(E,1)/r! |
Ω |
0.0075307432941058 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86490cn1 930f1 |
Quadratic twists by: -3 -31 |