Atkin-Lehner |
2- 5- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
69680bm |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
71352320 = 214 · 5 · 13 · 67 |
Discriminant |
Eigenvalues |
2- -2 5- -5 -2 13- 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,-8972] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:2:1] |
Generators of the group modulo torsion |
j |
13841287201/17420 |
j-invariant |
L |
3.3846248122655 |
L(r)(E,1)/r! |
Ω |
0.89766573814907 |
Real period |
R |
1.8852367145082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8710n1 |
Quadratic twists by: -4 |