Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800gk |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-58080000000000 = -1 · 214 · 3 · 510 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ -5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3333,372963] |
[a1,a2,a3,a4,a6] |
Generators |
[542:12573:1] |
Generators of the group modulo torsion |
j |
-25600/363 |
j-invariant |
L |
5.4803368177863 |
L(r)(E,1)/r! |
Ω |
0.52999934958528 |
Real period |
R |
5.1701354180675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000181 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800bg1 13200k1 52800fk1 |
Quadratic twists by: -4 8 5 |