Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
126350dc |
Isogeny class |
Conductor |
126350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1969920 |
Modular degree for the optimal curve |
Δ |
-110681880338197000 = -1 · 23 · 53 · 73 · 199 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 5 -3 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-748060,249731367] |
[a1,a2,a3,a4,a6] |
Generators |
[3159:169895:1] |
Generators of the group modulo torsion |
j |
-1147730823/2744 |
j-invariant |
L |
9.4347943545945 |
L(r)(E,1)/r! |
Ω |
0.33442405207435 |
Real period |
R |
2.351005704555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000110854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126350bn1 126350bc1 |
Quadratic twists by: 5 -19 |