Atkin-Lehner |
2+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664i |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
15684608 = 210 · 172 · 53 |
Discriminant |
Eigenvalues |
2+ -2 0 -4 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93,259] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:17:1] [-2:21:1] |
Generators of the group modulo torsion |
j |
87808000/15317 |
j-invariant |
L |
5.9683223653079 |
L(r)(E,1)/r! |
Ω |
2.1043872808005 |
Real period |
R |
2.8361330729143 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57664bd1 7208a1 |
Quadratic twists by: -4 8 |