Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
47610x |
Isogeny class |
Conductor |
47610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13777920 |
Modular degree for the optimal curve |
Δ |
1.1895746705369E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-299324169,-1986251217395] |
[a1,a2,a3,a4,a6] |
j |
2258764829526743/9059696640 |
j-invariant |
L |
1.8152602340779 |
L(r)(E,1)/r! |
Ω |
0.036305204677037 |
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 |
15870v1 47610n1 |
Quadratic twists by: -3 -23 |