Atkin-Lehner |
2- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664bd |
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 |
[7594:233835:8] |
Generators of the group modulo torsion |
j |
87808000/15317 |
j-invariant |
L |
10.617138522898 |
L(r)(E,1)/r! |
Ω |
1.5543257081261 |
Real period |
R |
6.8307038013664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998483 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57664i1 14416a1 |
Quadratic twists by: -4 8 |