Atkin-Lehner |
2- 3- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
91872x |
Isogeny class |
Conductor |
91872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
-491147712 = -1 · 26 · 37 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,195,196] |
[a1,a2,a3,a4,a6] |
Generators |
[0:14:1] [5:36:1] |
Generators of the group modulo torsion |
j |
17576000/10527 |
j-invariant |
L |
11.34663747775 |
L(r)(E,1)/r! |
Ω |
1.0141243229991 |
Real period |
R |
2.7971514983057 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996205 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91872k1 30624f1 |
Quadratic twists by: -4 -3 |