Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680q |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3440640 |
Modular degree for the optimal curve |
Δ |
8.5701081983279E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23193228,-40619566352] |
[a1,a2,a3,a4,a6] |
j |
7220044159551112609/448454983680000 |
j-invariant |
L |
2.4862680267782 |
L(r)(E,1)/r! |
Ω |
0.069063000743632 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680db1 990g1 10560bg1 |
Quadratic twists by: -4 8 -3 |