Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10416bi |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
7999488 = 212 · 32 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -2 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-108] |
[a1,a2,a3,a4,a6] |
j |
4826809/1953 |
j-invariant |
L |
3.6102188188201 |
L(r)(E,1)/r! |
Ω |
1.8051094094101 |
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 |
651b1 41664cl1 31248bt1 72912bl1 |
Quadratic twists by: -4 8 -3 -7 |