Atkin-Lehner |
2- 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109040h |
Isogeny class |
Conductor |
109040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
2723201597440 = 214 · 5 · 294 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 -3 -3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3496,-6476] |
[a1,a2,a3,a4,a6] |
Generators |
[60:58:1] |
Generators of the group modulo torsion |
j |
1153990560169/664844140 |
j-invariant |
L |
6.6636679620698 |
L(r)(E,1)/r! |
Ω |
0.67617402634017 |
Real period |
R |
1.2318699967865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952453 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13630d1 |
Quadratic twists by: -4 |