Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680dp |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
12830400 = 26 · 36 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ -4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,664] |
[a1,a2,a3,a4,a6] |
j |
7529536/275 |
j-invariant |
L |
2.2285797165103 |
L(r)(E,1)/r! |
Ω |
2.2285797165116 |
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 |
31680eg1 15840bb2 3520bb1 |
Quadratic twists by: -4 8 -3 |