Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640eb |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
2599200000 = 28 · 32 · 55 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 1 -4 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-405,-2097] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:30:1] |
Generators of the group modulo torsion |
j |
79691776/28125 |
j-invariant |
L |
9.1865895489416 |
L(r)(E,1)/r! |
Ω |
1.0949485295715 |
Real period |
R |
0.41949869287437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011476 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660p1 86640ci1 |
Quadratic twists by: -4 -19 |