Atkin-Lehner |
3- 11- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
91377f |
Isogeny class |
Conductor |
91377 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2693376 |
Modular degree for the optimal curve |
Δ |
-3.1280895445763E+19 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 11- 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,617404,-193915114] |
[a1,a2,a3,a4,a6] |
j |
35703036982674645767/42909321599125839 |
j-invariant |
L |
0.67120098135125 |
L(r)(E,1)/r! |
Ω |
0.11186683278675 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30459a1 |
Quadratic twists by: -3 |