Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680cx |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-161982606786560 = -1 · 214 · 5 · 711 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -5 -3 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6272,581728] |
[a1,a2,a3,a4,a6] |
Generators |
[161:2401:1] |
Generators of the group modulo torsion |
j |
14155776/84035 |
j-invariant |
L |
1.7953409457852 |
L(r)(E,1)/r! |
Ω |
0.4157279705947 |
Real period |
R |
1.0796368495587 |
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 |
15680bb1 3920bk1 78400ja1 2240bb1 |
Quadratic twists by: -4 8 5 -7 |