Atkin-Lehner |
2+ 3- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
120666x |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
14976000 |
Modular degree for the optimal curve |
Δ |
-1.0465039826579E+23 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 3 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11326038,-5195463908] |
[a1,a2,a3,a4,a6] |
Generators |
[114960:9304177:27] |
Generators of the group modulo torsion |
j |
196974946855373063/128290372756224 |
j-invariant |
L |
8.5499063930772 |
L(r)(E,1)/r! |
Ω |
0.060534062260233 |
Real period |
R |
2.3540207731817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999886986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120666ck1 |
Quadratic twists by: 13 |