Atkin-Lehner |
11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2717b |
Isogeny class |
Conductor |
2717 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
936 |
Modular degree for the optimal curve |
Δ |
2717 = 11 · 13 · 19 |
Discriminant |
Eigenvalues |
2 0 -2 3 11+ 13- 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-521,4577] |
[a1,a2,a3,a4,a6] |
j |
15640004800512/2717 |
j-invariant |
L |
3.5742285193009 |
L(r)(E,1)/r! |
Ω |
3.5742285193009 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43472w1 24453j1 67925c1 29887g1 |
Quadratic twists by: -4 -3 5 -11 |