Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
29760bk |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-39007027200000 = -1 · 227 · 3 · 55 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -3 2 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13025,-650625] |
[a1,a2,a3,a4,a6] |
j |
-932288503609/148800000 |
j-invariant |
L |
2.2150286203197 |
L(r)(E,1)/r! |
Ω |
0.22150286203211 |
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 |
29760by1 930b1 89280bs1 |
Quadratic twists by: -4 8 -3 |