Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
15680a |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-944504995840 = -1 · 215 · 5 · 78 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 3 1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3201,-82879] |
[a1,a2,a3,a4,a6] |
Generators |
[2163:11080:27] |
Generators of the group modulo torsion |
j |
-19208/5 |
j-invariant |
L |
6.7279451802116 |
L(r)(E,1)/r! |
Ω |
0.31308075279528 |
Real period |
R |
5.3723720798408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15680c1 7840v1 78400l1 15680bw1 |
Quadratic twists by: -4 8 5 -7 |