Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600cm |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
9.1474282125E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 2 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44052133,112513736363] |
[a1,a2,a3,a4,a6] |
j |
590887175978458660864/57171426328125 |
j-invariant |
L |
2.4101836585054 |
L(r)(E,1)/r! |
Ω |
0.15063647423234 |
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 |
81600fe1 5100a1 16320q1 |
Quadratic twists by: -4 8 5 |