Atkin-Lehner |
2- 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
23360w |
Isogeny class |
Conductor |
23360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4352 |
Modular degree for the optimal curve |
Δ |
11960320 = 215 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 1 5- 1 5 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,95] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:16:1] |
Generators of the group modulo torsion |
j |
941192/365 |
j-invariant |
L |
7.3693360399316 |
L(r)(E,1)/r! |
Ω |
2.0565634402136 |
Real period |
R |
1.7916627067839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23360x1 11680f1 116800ck1 |
Quadratic twists by: -4 8 5 |