Atkin-Lehner |
2+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664s |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
14761984 = 214 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ -1 1 0 -2 -1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-85,269] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:23:1] |
Generators of the group modulo torsion |
j |
4194304/901 |
j-invariant |
L |
5.2427048288865 |
L(r)(E,1)/r! |
Ω |
2.0959711736203 |
Real period |
R |
2.5013248725672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57664bo1 3604a1 |
Quadratic twists by: -4 8 |