Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680cz |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-20528640000000 = -1 · 215 · 36 · 57 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- 2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117228,-15450352] |
[a1,a2,a3,a4,a6] |
j |
-7458308028872/859375 |
j-invariant |
L |
0.25801129200555 |
L(r)(E,1)/r! |
Ω |
0.12900564600405 |
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 |
31680cp1 15840bd1 3520be1 |
Quadratic twists by: -4 8 -3 |