Atkin-Lehner |
2+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
29584f |
Isogeny class |
Conductor |
29584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
473344 = 28 · 432 |
Discriminant |
Eigenvalues |
2+ -1 1 5 0 3 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100,-352] |
[a1,a2,a3,a4,a6] |
j |
235984 |
j-invariant |
L |
3.0177201228555 |
L(r)(E,1)/r! |
Ω |
1.5088600614276 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14792g1 118336bf1 29584a1 |
Quadratic twists by: -4 8 -43 |