Atkin-Lehner |
2- 3- 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13398bf |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
15834080390436 = 22 · 38 · 72 · 114 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16512,792540] |
[a1,a2,a3,a4,a6] |
j |
497879673215404033/15834080390436 |
j-invariant |
L |
5.5511281549098 |
L(r)(E,1)/r! |
Ω |
0.69389101936372 |
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 |
107184bz2 40194m2 93786cb2 |
Quadratic twists by: -4 -3 -7 |