Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800cg |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-222750000000000 = -1 · 210 · 34 · 512 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37133,-2858637] |
[a1,a2,a3,a4,a6] |
j |
-353912203264/13921875 |
j-invariant |
L |
1.3725182812784 |
L(r)(E,1)/r! |
Ω |
0.17156478525167 |
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 |
52800et1 6600f1 10560h1 |
Quadratic twists by: -4 8 5 |