Atkin-Lehner |
2- 3+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
91872o |
Isogeny class |
Conductor |
91872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
11653595712 = 26 · 39 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-621,2916] |
[a1,a2,a3,a4,a6] |
Generators |
[0:54:1] |
Generators of the group modulo torsion |
j |
21024576/9251 |
j-invariant |
L |
3.7081995408576 |
L(r)(E,1)/r! |
Ω |
1.1452137641724 |
Real period |
R |
1.6189988538827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934363 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91872f1 91872e1 |
Quadratic twists by: -4 -3 |