Atkin-Lehner |
2- 5+ 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
39440d |
Isogeny class |
Conductor |
39440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
408808418000 = 24 · 53 · 172 · 294 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11761,-486060] |
[a1,a2,a3,a4,a6] |
Generators |
[16358934:146209503:97336] |
Generators of the group modulo torsion |
j |
11245361097293824/25550526125 |
j-invariant |
L |
8.3949423335838 |
L(r)(E,1)/r! |
Ω |
0.45850566493085 |
Real period |
R |
9.1546767855616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9860b1 |
Quadratic twists by: -4 |