Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600z |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-13125000000 = -1 · 26 · 3 · 510 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,492,-3738] |
[a1,a2,a3,a4,a6] |
j |
13144256/13125 |
j-invariant |
L |
2.7422231170914 |
L(r)(E,1)/r! |
Ω |
0.68555577927152 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600cm1 16800ca4 100800fv1 6720z1 |
Quadratic twists by: -4 8 -3 5 |