Atkin-Lehner |
2- 3+ 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13398z |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1760854427551296 = 26 · 38 · 72 · 112 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31367,-717379] |
[a1,a2,a3,a4,a6] |
j |
3413056905320720113/1760854427551296 |
j-invariant |
L |
4.5524212277237 |
L(r)(E,1)/r! |
Ω |
0.37936843564365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
107184cs2 40194j2 93786dd2 |
Quadratic twists by: -4 -3 -7 |