Atkin-Lehner |
2- 3- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290bz |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1064448000 |
Modular degree for the optimal curve |
Δ |
8.9823257423979E+35 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-875807707973,-312159262684233603] |
[a1,a2,a3,a4,a6] |
j |
101911330862444537650467942170606186761/1232143448888598218129390625000000 |
j-invariant |
L |
2.9632350350501 |
L(r)(E,1)/r! |
Ω |
0.0049387250584413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430g1 |
Quadratic twists by: -3 |