Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680du |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-322828856000 = -1 · 26 · 53 · 79 |
Discriminant |
Eigenvalues |
2- 3 5- 7- 1 -3 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1372,33614] |
[a1,a2,a3,a4,a6] |
j |
-110592/125 |
j-invariant |
L |
5.2507729892929 |
L(r)(E,1)/r! |
Ω |
0.87512883154881 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15680by1 3920y1 78400jb1 15680cv1 |
Quadratic twists by: -4 8 5 -7 |