Atkin-Lehner |
2+ 3+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6630g |
Isogeny class |
Conductor |
6630 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
-1120470 = -1 · 2 · 3 · 5 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -3 13- 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17,51] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:9:1] |
Generators of the group modulo torsion |
j |
-594823321/1120470 |
j-invariant |
L |
2.6444610135453 |
L(r)(E,1)/r! |
Ω |
2.4540208173354 |
Real period |
R |
0.35920111120828 |
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 |
53040cw1 19890y1 33150by1 86190bp1 |
Quadratic twists by: -4 -3 5 13 |