Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11400bi |
Isogeny class |
Conductor |
11400 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-9573811200 = -1 · 210 · 39 · 52 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -1 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-608,7248] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:108:1] |
Generators of the group modulo torsion |
j |
-972542500/373977 |
j-invariant |
L |
5.749164751582 |
L(r)(E,1)/r! |
Ω |
1.2157146550337 |
Real period |
R |
0.26272451387509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22800i1 91200bc1 34200u1 11400g1 |
Quadratic twists by: -4 8 -3 5 |