Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
91872bb |
Isogeny class |
Conductor |
91872 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
384568658496 = 26 · 310 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1929,-13160] |
[a1,a2,a3,a4,a6] |
Generators |
[-2795:17136:125] |
Generators of the group modulo torsion |
j |
17014253248/8242641 |
j-invariant |
L |
8.5274710599525 |
L(r)(E,1)/r! |
Ω |
0.75624132725646 |
Real period |
R |
5.6380620547601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965528 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91872y1 30624d1 |
Quadratic twists by: -4 -3 |