Atkin-Lehner |
2- 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
91872w |
Isogeny class |
Conductor |
91872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
156676120128 = 26 · 37 · 113 · 292 |
Discriminant |
Eigenvalues |
2- 3- 4 -4 11+ 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12153,515320] |
[a1,a2,a3,a4,a6] |
Generators |
[15:580:1] |
Generators of the group modulo torsion |
j |
4254678057664/3358113 |
j-invariant |
L |
8.1829398128727 |
L(r)(E,1)/r! |
Ω |
1.0169369358992 |
Real period |
R |
4.0233270765732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928282 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91872ba1 30624h1 |
Quadratic twists by: -4 -3 |