Atkin-Lehner |
2- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
17864o |
Isogeny class |
Conductor |
17864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
-97593461504 = -1 · 28 · 72 · 11 · 294 |
Discriminant |
Eigenvalues |
2- -1 3 7- 11- -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3729,90181] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:406:1] |
Generators of the group modulo torsion |
j |
-22406671946752/381224459 |
j-invariant |
L |
5.1788753690952 |
L(r)(E,1)/r! |
Ω |
1.067896464341 |
Real period |
R |
0.30310027364703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35728e1 125048bb1 |
Quadratic twists by: -4 -7 |