Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952de |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
74954100722256 = 24 · 39 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 -2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10584,-46305] |
[a1,a2,a3,a4,a6] |
j |
3538944/2023 |
j-invariant |
L |
2.0395838961267 |
L(r)(E,1)/r! |
Ω |
0.50989577542672 |
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 |
29988n1 119952cp1 17136n1 |
Quadratic twists by: -4 -3 -7 |