Atkin-Lehner |
2+ 3- 5+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116610z |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
9408000 |
Modular degree for the optimal curve |
Δ |
-4.1533122102941E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 5 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-563619,-3104990354] |
[a1,a2,a3,a4,a6] |
j |
-4102223949811441/860467486965840 |
j-invariant |
L |
2.4748239016184 |
L(r)(E,1)/r! |
Ω |
0.06187060989182 |
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 |
8970p1 |
Quadratic twists by: 13 |