Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
99600z |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-19123200 = -1 · 210 · 32 · 52 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 5 -6 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88,-412] |
[a1,a2,a3,a4,a6] |
Generators |
[14:36:1] |
Generators of the group modulo torsion |
j |
-2977540/747 |
j-invariant |
L |
8.6423048815039 |
L(r)(E,1)/r! |
Ω |
0.76850226831538 |
Real period |
R |
1.4057058194941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937296 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49800s1 99600i1 |
Quadratic twists by: -4 5 |