Atkin-Lehner |
2+ 3- 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
110664h |
Isogeny class |
Conductor |
110664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
-7744709376 = -1 · 28 · 39 · 29 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 4 5 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-156,-4300] |
[a1,a2,a3,a4,a6] |
Generators |
[22:54:1] |
Generators of the group modulo torsion |
j |
-2249728/41499 |
j-invariant |
L |
6.6171070055802 |
L(r)(E,1)/r! |
Ω |
0.56687840561952 |
Real period |
R |
0.72955537405131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36888e1 |
Quadratic twists by: -3 |