Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600c |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-3275251200 = -1 · 29 · 39 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -2 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-675,7290] |
[a1,a2,a3,a4,a6] |
Generators |
[162:351:8] |
Generators of the group modulo torsion |
j |
-135000/13 |
j-invariant |
L |
7.7376650849724 |
L(r)(E,1)/r! |
Ω |
1.3811477680598 |
Real period |
R |
2.8011720624802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001138 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93600d1 93600cs1 93600dd1 |
Quadratic twists by: -4 -3 5 |