Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680n |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
2963144954880 = 210 · 314 · 5 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-393528,95019208] |
[a1,a2,a3,a4,a6] |
j |
9028656748079104/3969405 |
j-invariant |
L |
1.3072340412434 |
L(r)(E,1)/r! |
Ω |
0.65361702062088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680cw1 3960j1 10560be1 |
Quadratic twists by: -4 8 -3 |