Atkin-Lehner |
2- 3- 5- 19- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
114570bx |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
68744900912400 = 24 · 39 · 52 · 194 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12812,393599] |
[a1,a2,a3,a4,a6] |
Generators |
[99:247:1] |
Generators of the group modulo torsion |
j |
319018004775289/94300275600 |
j-invariant |
L |
10.776939634167 |
L(r)(E,1)/r! |
Ω |
0.57319612103227 |
Real period |
R |
2.3501859149963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030363 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38190k1 |
Quadratic twists by: -3 |