Atkin-Lehner |
2+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664r |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-538599609364381696 = -1 · 218 · 173 · 535 |
Discriminant |
Eigenvalues |
2+ 0 -3 -1 0 -3 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22124,-35332176] |
[a1,a2,a3,a4,a6] |
Generators |
[3320:191012:1] |
Generators of the group modulo torsion |
j |
-4568511679857/2054594457109 |
j-invariant |
L |
3.2415123481883 |
L(r)(E,1)/r! |
Ω |
0.13125934829244 |
Real period |
R |
0.82318260005718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997309 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57664bn1 901d1 |
Quadratic twists by: -4 8 |