Atkin-Lehner |
2- 3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68970cn |
Isogeny class |
Conductor |
68970 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8363520 |
Modular degree for the optimal curve |
Δ |
-4.727295116968E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11- 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9751211,12177302391] |
[a1,a2,a3,a4,a6] |
j |
-3953416087371289/182257690950 |
j-invariant |
L |
3.2604668157313 |
L(r)(E,1)/r! |
Ω |
0.13585278369686 |
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 |
68970bb1 |
Quadratic twists by: -11 |