Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800fj |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-102643200000000 = -1 · 215 · 36 · 58 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ -1 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3167,481537] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:675:1] |
Generators of the group modulo torsion |
j |
274360/8019 |
j-invariant |
L |
5.5316738468572 |
L(r)(E,1)/r! |
Ω |
0.44935846979725 |
Real period |
R |
1.0258465157655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800ht1 26400ba1 52800gf1 |
Quadratic twists by: -4 8 5 |