Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
15680dd |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-1180631244800000 = -1 · 216 · 55 · 78 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ -2 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7775,1629377] |
[a1,a2,a3,a4,a6] |
Generators |
[229:-3920:1] |
Generators of the group modulo torsion |
j |
137564/3125 |
j-invariant |
L |
3.8209245586341 |
L(r)(E,1)/r! |
Ω |
0.36482676213272 |
Real period |
R |
0.17455428873956 |
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 |
15680be1 3920a1 78400ga1 15680ce1 |
Quadratic twists by: -4 8 5 -7 |