Atkin-Lehner |
2- 3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61446cq |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
1058400 |
Modular degree for the optimal curve |
Δ |
14331352103878656 = 215 · 3 · 78 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 11- 2 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1492786,-702112636] |
[a1,a2,a3,a4,a6] |
j |
63816366092712289/2486009856 |
j-invariant |
L |
6.1462991420461 |
L(r)(E,1)/r! |
Ω |
0.13658442539077 |
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 |
61446cg1 |
Quadratic twists by: -7 |