Atkin-Lehner |
2- 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
64974bs |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
7277208071952 = 24 · 3 · 79 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 4 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12545,519791] |
[a1,a2,a3,a4,a6] |
Generators |
[-71:1064:1] |
Generators of the group modulo torsion |
j |
1855878893569/61855248 |
j-invariant |
L |
6.6701483711318 |
L(r)(E,1)/r! |
Ω |
0.73984369514734 |
Real period |
R |
1.1269522899102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282v1 |
Quadratic twists by: -7 |