Atkin-Lehner |
3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
18675b |
Isogeny class |
Conductor |
18675 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
35015625 = 33 · 56 · 83 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 -6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-155,722] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:40:1] |
Generators of the group modulo torsion |
j |
970299/83 |
j-invariant |
L |
2.6072925633162 |
L(r)(E,1)/r! |
Ω |
2.0144535306096 |
Real period |
R |
0.64714636592465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18675c1 747b1 |
Quadratic twists by: -3 5 |