Atkin-Lehner |
2- 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
35568bf |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-752750517168 = -1 · 24 · 33 · 136 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 2 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1836,-51569] |
[a1,a2,a3,a4,a6] |
j |
-1584375054336/1742478049 |
j-invariant |
L |
2.0974670783997 |
L(r)(E,1)/r! |
Ω |
0.34957784639978 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8892f1 35568be1 |
Quadratic twists by: -4 -3 |