Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416dy |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1602671616 = 210 · 33 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 2 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-231864,42973240] |
[a1,a2,a3,a4,a6] |
Generators |
[-490:6240:1] |
Generators of the group modulo torsion |
j |
49860882714802176/57967 |
j-invariant |
L |
7.8618276723106 |
L(r)(E,1)/r! |
Ω |
0.95155556326467 |
Real period |
R |
4.1310397289605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416be1 13104d1 52416dz1 |
Quadratic twists by: -4 8 -3 |