Atkin-Lehner |
2- 3- 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23460n |
Isogeny class |
Conductor |
23460 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
37440 |
Modular degree for the optimal curve |
Δ |
12277359429840 = 24 · 310 · 5 · 173 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6325,-97360] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:306:1] |
Generators of the group modulo torsion |
j |
1749258449453056/767334964365 |
j-invariant |
L |
6.8267589649589 |
L(r)(E,1)/r! |
Ω |
0.55734550106502 |
Real period |
R |
0.81658013469369 |
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 |
93840br1 70380u1 117300d1 |
Quadratic twists by: -4 -3 5 |