Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
89376ct |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
33784128 = 26 · 34 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-198,972] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:42:1] |
Generators of the group modulo torsion |
j |
39304000/1539 |
j-invariant |
L |
7.5847882622511 |
L(r)(E,1)/r! |
Ω |
2.0535944663721 |
Real period |
R |
0.92335516869833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89376d1 89376bj1 |
Quadratic twists by: -4 -7 |