Atkin-Lehner |
2- 3+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
72624k |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2156544 |
Modular degree for the optimal curve |
Δ |
7.6839381635892E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 6 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3254528,-2219065344] |
[a1,a2,a3,a4,a6] |
j |
930739047847223226625/18759614657200128 |
j-invariant |
L |
1.8006510605374 |
L(r)(E,1)/r! |
Ω |
0.11254069196458 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9078g1 |
Quadratic twists by: -4 |