Atkin-Lehner |
2- 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
78320ba |
Isogeny class |
Conductor |
78320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
27568640000 = 212 · 54 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 11+ 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1496,21296] |
[a1,a2,a3,a4,a6] |
Generators |
[28:24:1] |
Generators of the group modulo torsion |
j |
90458382169/6730625 |
j-invariant |
L |
8.8415630268368 |
L(r)(E,1)/r! |
Ω |
1.1596587826639 |
Real period |
R |
1.9060699495623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969581 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4895c1 |
Quadratic twists by: -4 |