Atkin-Lehner |
3- 11+ 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
91377d |
Isogeny class |
Conductor |
91377 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36480 |
Modular degree for the optimal curve |
Δ |
-81416907 = -1 · 36 · 112 · 13 · 71 |
Discriminant |
Eigenvalues |
-2 3- 0 4 11+ 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,105,130] |
[a1,a2,a3,a4,a6] |
Generators |
[8:38:1] |
Generators of the group modulo torsion |
j |
175616000/111683 |
j-invariant |
L |
3.7373745636982 |
L(r)(E,1)/r! |
Ω |
1.1972835820624 |
Real period |
R |
1.560772493506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000212 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10153a1 |
Quadratic twists by: -3 |