Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66300be |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-265200 = -1 · 24 · 3 · 52 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18,33] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] |
Generators of the group modulo torsion |
j |
-1703680/663 |
j-invariant |
L |
8.1804269840685 |
L(r)(E,1)/r! |
Ω |
2.9137945158416 |
Real period |
R |
0.9358274854596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66300p1 |
Quadratic twists by: 5 |