Atkin-Lehner |
2- 3- 5- 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570ce |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
4018176 |
Modular degree for the optimal curve |
Δ |
-3365148097636130160 = -1 · 24 · 318 · 5 · 192 · 673 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,115753,86918879] |
[a1,a2,a3,a4,a6] |
j |
235286206605294551/4616115360269040 |
j-invariant |
L |
4.4985691490326 |
L(r)(E,1)/r! |
Ω |
0.18744038986393 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190o1 |
Quadratic twists by: -3 |