Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
29760cq |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-77137920000000 = -1 · 217 · 35 · 57 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 2 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6557761,6461519039] |
[a1,a2,a3,a4,a6] |
j |
-237947203935023980322/588515625 |
j-invariant |
L |
4.0128791282863 |
L(r)(E,1)/r! |
Ω |
0.40128791282858 |
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 |
29760e1 7440e1 89280fz1 |
Quadratic twists by: -4 8 -3 |