Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
2320g |
Isogeny class |
Conductor |
2320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
11600 = 24 · 52 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 2 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8,7] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2:1] |
Generators of the group modulo torsion |
j |
3538944/725 |
j-invariant |
L |
2.9289129199148 |
L(r)(E,1)/r! |
Ω |
3.8111614952067 |
Real period |
R |
1.5370185302294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
580a1 9280o1 20880cg1 11600y1 |
Quadratic twists by: -4 8 -3 5 |