Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
15680dg |
Isogeny class |
Conductor |
15680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-30224159866880 = -1 · 220 · 5 · 78 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ -2 0 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-412972,-102148144] |
[a1,a2,a3,a4,a6] |
Generators |
[3817590:100003904:3375] |
Generators of the group modulo torsion |
j |
-5154200289/20 |
j-invariant |
L |
8.7123651926892 |
L(r)(E,1)/r! |
Ω |
0.094164955642633 |
Real period |
R |
7.7101977882246 |
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 |
15680bl1 3920t1 78400go1 15680cw1 |
Quadratic twists by: -4 8 5 -7 |