Atkin-Lehner |
3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
49197q |
Isogeny class |
Conductor |
49197 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9618048 |
Modular degree for the optimal curve |
Δ |
-3224681059381651809 = -1 · 34 · 2310 · 312 |
Discriminant |
Eigenvalues |
1 3- -1 -2 6 -5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-630627524,6095421625583] |
[a1,a2,a3,a4,a6] |
j |
-669520865586537961/77841 |
j-invariant |
L |
1.1424406483977 |
L(r)(E,1)/r! |
Ω |
0.1428050811458 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49197p1 |
Quadratic twists by: -23 |