Atkin-Lehner |
3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52635r |
Isogeny class |
Conductor |
52635 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-16202475460875 = -1 · 3 · 53 · 116 · 293 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,5889,-83209] |
[a1,a2,a3,a4,a6] |
j |
12747309056/9145875 |
j-invariant |
L |
1.1751164593245 |
L(r)(E,1)/r! |
Ω |
0.3917054866894 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
435a2 |
Quadratic twists by: -11 |