Atkin-Lehner |
2+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5920g |
Isogeny class |
Conductor |
5920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
3788800 = 212 · 52 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 -3 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2205,-40597] |
[a1,a2,a3,a4,a6] |
j |
289591952896/925 |
j-invariant |
L |
2.7867054617235 |
L(r)(E,1)/r! |
Ω |
0.69667636543088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5920n1 11840h1 53280bl1 29600x1 |
Quadratic twists by: -4 8 -3 5 |