Atkin-Lehner |
2- 3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77520bd |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
5655859200 = 212 · 32 · 52 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 2 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1376,19776] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:96:1] [-14:190:1] |
Generators of the group modulo torsion |
j |
70393838689/1380825 |
j-invariant |
L |
8.3453224441298 |
L(r)(E,1)/r! |
Ω |
1.3519487274506 |
Real period |
R |
0.77160123334513 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999613 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4845e1 |
Quadratic twists by: -4 |