Atkin-Lehner |
2- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
19118i |
Isogeny class |
Conductor |
19118 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
559813276 = 22 · 116 · 79 |
Discriminant |
Eigenvalues |
2- -1 -1 3 11- 7 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-426,-3365] |
[a1,a2,a3,a4,a6] |
j |
4826809/316 |
j-invariant |
L |
4.220687769641 |
L(r)(E,1)/r! |
Ω |
1.0551719424102 |
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 |
158b1 |
Quadratic twists by: -11 |