Atkin-Lehner |
2- 3- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
61104bb |
Isogeny class |
Conductor |
61104 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
2674888704 = 212 · 33 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-704,6516] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:114:1] |
Generators of the group modulo torsion |
j |
9434056897/653049 |
j-invariant |
L |
6.5122591616795 |
L(r)(E,1)/r! |
Ω |
1.4108940874273 |
Real period |
R |
0.76928278074456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000317 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3819a1 |
Quadratic twists by: -4 |