Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600dy |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-192849310080000 = -1 · 210 · 316 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -5 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-135233,-19198137] |
[a1,a2,a3,a4,a6] |
j |
-427361108435200/301327047 |
j-invariant |
L |
1.9915913835744 |
L(r)(E,1)/r! |
Ω |
0.12447446147423 |
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 |
33600fr1 4200v1 100800ik1 33600n1 |
Quadratic twists by: -4 8 -3 5 |