Atkin-Lehner |
2+ 3+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
91512a |
Isogeny class |
Conductor |
91512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
611328 |
Modular degree for the optimal curve |
Δ |
14767840512 = 28 · 33 · 31 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 2 -5 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1315980,581061428] |
[a1,a2,a3,a4,a6] |
Generators |
[662:14:1] |
Generators of the group modulo torsion |
j |
36464297379507072000/2136551 |
j-invariant |
L |
7.3780595467527 |
L(r)(E,1)/r! |
Ω |
0.68352376470571 |
Real period |
R |
1.3492690253895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946764 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91512g1 |
Quadratic twists by: -3 |