Atkin-Lehner |
2+ 3- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
22914c |
Isogeny class |
Conductor |
22914 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
1.638968283719E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -2 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-749718,-156306956] |
[a1,a2,a3,a4,a6] |
j |
63927883104712709473/22482418158010368 |
j-invariant |
L |
1.335517919102 |
L(r)(E,1)/r! |
Ω |
0.16693973988775 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7638d1 |
Quadratic twists by: -3 |