Atkin-Lehner |
2+ 3+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
91656a |
Isogeny class |
Conductor |
91656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
543744 |
Modular degree for the optimal curve |
Δ |
-175986946335744 = -1 · 210 · 39 · 194 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 -6 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-129411,17929998] |
[a1,a2,a3,a4,a6] |
Generators |
[207:-108:1] |
Generators of the group modulo torsion |
j |
-11891757447756/8731507 |
j-invariant |
L |
7.2591755457983 |
L(r)(E,1)/r! |
Ω |
0.56584191808325 |
Real period |
R |
1.6036226955494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91656g1 |
Quadratic twists by: -3 |