Atkin-Lehner |
2- 11+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
15686f |
Isogeny class |
Conductor |
15686 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2800 |
Modular degree for the optimal curve |
Δ |
-15686 = -1 · 2 · 11 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3 1 1 11+ 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27,-47] |
[a1,a2,a3,a4,a6] |
j |
-2102071041/15686 |
j-invariant |
L |
9.4480364644999 |
L(r)(E,1)/r! |
Ω |
1.0497818293889 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125488k1 |
Quadratic twists by: -4 |