Atkin-Lehner |
2+ 3+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
20496a |
Isogeny class |
Conductor |
20496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
3873744 = 24 · 34 · 72 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-999,-11826] |
[a1,a2,a3,a4,a6] |
j |
6898185213952/242109 |
j-invariant |
L |
0.84912744048274 |
L(r)(E,1)/r! |
Ω |
0.84912744048274 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10248g1 81984cj1 61488e1 |
Quadratic twists by: -4 8 -3 |