Atkin-Lehner |
5+ 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13685b |
Isogeny class |
Conductor |
13685 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5350835 = 5 · 7 · 172 · 232 |
Discriminant |
Eigenvalues |
1 2 5+ 7+ 0 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-178,837] |
[a1,a2,a3,a4,a6] |
j |
629202484009/5350835 |
j-invariant |
L |
2.4268268748728 |
L(r)(E,1)/r! |
Ω |
2.4268268748728 |
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 |
123165j2 68425e2 95795m2 |
Quadratic twists by: -3 5 -7 |