Atkin-Lehner |
2+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
34102j |
Isogeny class |
Conductor |
34102 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
243845507452928 = 212 · 173 · 594 |
Discriminant |
Eigenvalues |
2+ -2 4 -2 -2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-372604,-87570246] |
[a1,a2,a3,a4,a6] |
j |
1164441864638029193/49632710656 |
j-invariant |
L |
0.77294558009433 |
L(r)(E,1)/r! |
Ω |
0.19323639502667 |
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 |
34102h2 |
Quadratic twists by: 17 |