Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
15680ce |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-10035200000 = -1 · 216 · 55 · 72 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -2 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,159,-4705] |
[a1,a2,a3,a4,a6] |
Generators |
[31:176:1] |
Generators of the group modulo torsion |
j |
137564/3125 |
j-invariant |
L |
5.0814434450185 |
L(r)(E,1)/r! |
Ω |
0.62487302714064 |
Real period |
R |
2.0329903933727 |
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 |
15680p1 3920l1 78400hv1 15680dd1 |
Quadratic twists by: -4 8 5 -7 |