Atkin-Lehner |
2- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
113680t |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-50837036896092160 = -1 · 221 · 5 · 78 · 292 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -1 -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75803,-13498422] |
[a1,a2,a3,a4,a6] |
Generators |
[21764:14239:64] |
Generators of the group modulo torsion |
j |
-2040039729/2152960 |
j-invariant |
L |
4.0559089399126 |
L(r)(E,1)/r! |
Ω |
0.138073169205 |
Real period |
R |
7.3437672918968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000109292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14210k1 113680bq1 |
Quadratic twists by: -4 -7 |