Atkin-Lehner |
2- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57664x |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-944766976 = -1 · 220 · 17 · 53 |
Discriminant |
Eigenvalues |
2- -2 1 -1 0 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,1471] |
[a1,a2,a3,a4,a6] |
Generators |
[15:64:1] [5:36:1] |
Generators of the group modulo torsion |
j |
-117649/3604 |
j-invariant |
L |
7.4562400110288 |
L(r)(E,1)/r! |
Ω |
1.3101487781882 |
Real period |
R |
1.4227849796851 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999913 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57664c1 14416f1 |
Quadratic twists by: -4 8 |