Atkin-Lehner |
2+ 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
3422c |
Isogeny class |
Conductor |
3422 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6120 |
Modular degree for the optimal curve |
Δ |
224264192 = 217 · 29 · 59 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 5 -5 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14196,-652174] |
[a1,a2,a3,a4,a6] |
j |
316357187835741625/224264192 |
j-invariant |
L |
0.43738284009633 |
L(r)(E,1)/r! |
Ω |
0.43738284009633 |
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 |
27376j1 109504d1 30798q1 85550w1 |
Quadratic twists by: -4 8 -3 5 |