Atkin-Lehner |
2- 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116610cl |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2100555628853906250 = 2 · 34 · 58 · 137 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1847596,963953990] |
[a1,a2,a3,a4,a6] |
j |
144505591826923081/435185156250 |
j-invariant |
L |
8.3843588347267 |
L(r)(E,1)/r! |
Ω |
0.26201120256413 |
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 |
8970g2 |
Quadratic twists by: 13 |