Atkin-Lehner |
11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2717a |
Isogeny class |
Conductor |
2717 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
5969249 = 11 · 134 · 19 |
Discriminant |
Eigenvalues |
-1 0 -2 0 11+ 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-61,-124] |
[a1,a2,a3,a4,a6] |
j |
24718462497/5969249 |
j-invariant |
L |
0.4351382962818 |
L(r)(E,1)/r! |
Ω |
1.7405531851272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43472v1 24453i1 67925a1 29887f1 |
Quadratic twists by: -4 -3 5 -11 |