Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800d |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1098075000000 = 26 · 3 · 58 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3508,63262] |
[a1,a2,a3,a4,a6] |
Generators |
[2826:52325:8] |
Generators of the group modulo torsion |
j |
4775581504/1098075 |
j-invariant |
L |
4.6623997546507 |
L(r)(E,1)/r! |
Ω |
0.82036724777385 |
Real period |
R |
5.6833080151494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800co1 26400s3 10560y1 |
Quadratic twists by: -4 8 5 |