Atkin-Lehner |
2- 3+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
48360v |
Isogeny class |
Conductor |
48360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
9757300849920 = 28 · 39 · 5 · 13 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5465,41805] |
[a1,a2,a3,a4,a6] |
Generators |
[7:62:1] |
Generators of the group modulo torsion |
j |
70523476274176/38114456445 |
j-invariant |
L |
4.985350966035 |
L(r)(E,1)/r! |
Ω |
0.63400463475705 |
Real period |
R |
1.3105453527006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96720w1 |
Quadratic twists by: -4 |