Atkin-Lehner |
2+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37696f |
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] |
j |
-21952/11191 |
j-invariant |
L |
3.2720961761231 |
L(r)(E,1)/r! |
Ω |
1.6360480880931 |
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 |
37696b1 18848b1 |
Quadratic twists by: -4 8 |