Atkin-Lehner |
2- 3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
61488bb |
Isogeny class |
Conductor |
61488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
20400242688 = 216 · 36 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -3 -4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-389595,93598346] |
[a1,a2,a3,a4,a6] |
j |
2190162605289625/6832 |
j-invariant |
L |
1.6115125694094 |
L(r)(E,1)/r! |
Ω |
0.80575628620866 |
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 |
7686t1 6832e1 |
Quadratic twists by: -4 -3 |