Atkin-Lehner |
2- 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
3654t |
Isogeny class |
Conductor |
3654 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-215336475648 = -1 · 210 · 36 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2720,-58301] |
[a1,a2,a3,a4,a6] |
j |
-3051779837625/295386112 |
j-invariant |
L |
3.2874513605027 |
L(r)(E,1)/r! |
Ω |
0.32874513605027 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29232bu1 116928x1 406a1 91350ca1 |
Quadratic twists by: -4 8 -3 5 |