Atkin-Lehner |
2+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37696b |
Isogeny class |
Conductor |
37696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8704 |
Modular degree for the optimal curve |
Δ |
-45838336 = -1 · 212 · 192 · 31 |
Discriminant |
Eigenvalues |
2+ -2 -2 -4 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9,-329] |
[a1,a2,a3,a4,a6] |
Generators |
[9:20:1] [11:32:1] |
Generators of the group modulo torsion |
j |
-21952/11191 |
j-invariant |
L |
4.8228690391569 |
L(r)(E,1)/r! |
Ω |
0.90715786069958 |
Real period |
R |
2.6582303081392 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37696f1 18848a1 |
Quadratic twists by: -4 8 |