Atkin-Lehner |
2+ 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62016y |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
3969024 = 212 · 3 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 4 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1289,-18249] |
[a1,a2,a3,a4,a6] |
j |
57870788032/969 |
j-invariant |
L |
3.1869017785157 |
L(r)(E,1)/r! |
Ω |
0.79672544662551 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62016l1 31008b1 |
Quadratic twists by: -4 8 |