Atkin-Lehner |
2- 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
75840bx |
Isogeny class |
Conductor |
75840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7188480 |
Modular degree for the optimal curve |
Δ |
-2.1880654881449E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3725695,22333373985] |
[a1,a2,a3,a4,a6] |
j |
21817529432070364511/834680743463485440 |
j-invariant |
L |
3.768960344626 |
L(r)(E,1)/r! |
Ω |
0.075379206408035 |
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 |
75840bj1 18960u1 |
Quadratic twists by: -4 8 |