Atkin-Lehner |
2- 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122694bv |
Isogeny class |
Conductor |
122694 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
9563835834696 = 23 · 3 · 119 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -1 4 11+ 13+ 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8291,246137] |
[a1,a2,a3,a4,a6] |
j |
158171/24 |
j-invariant |
L |
4.1833218443946 |
L(r)(E,1)/r! |
Ω |
0.69722041689938 |
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 |
122694f1 122694d1 |
Quadratic twists by: -11 13 |