Atkin-Lehner |
2- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
52528z |
Isogeny class |
Conductor |
52528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
904026210304 = 214 · 77 · 67 |
Discriminant |
Eigenvalues |
2- 1 1 7- -2 7 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2760,-32908] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1568:1] |
Generators of the group modulo torsion |
j |
4826809/1876 |
j-invariant |
L |
7.9331507960679 |
L(r)(E,1)/r! |
Ω |
0.68080264709943 |
Real period |
R |
1.4565804844252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999845 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6566e1 7504n1 |
Quadratic twists by: -4 -7 |