Atkin-Lehner |
2- 7+ 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
88816f |
Isogeny class |
Conductor |
88816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
4729274368 = 216 · 7 · 132 · 61 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 3 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-768,-7756] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:2:1] [-17:26:1] |
Generators of the group modulo torsion |
j |
12246522625/1154608 |
j-invariant |
L |
12.723102731855 |
L(r)(E,1)/r! |
Ω |
0.91228434395692 |
Real period |
R |
3.4866055788759 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11102f1 |
Quadratic twists by: -4 |