Atkin-Lehner |
2- 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
61446bx |
Isogeny class |
Conductor |
61446 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-3498865259736 = -1 · 23 · 3 · 78 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ -2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3135,60759] |
[a1,a2,a3,a4,a6] |
j |
28962726911/29739864 |
j-invariant |
L |
3.1348190691244 |
L(r)(E,1)/r! |
Ω |
0.52246984503335 |
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 |
8778p1 |
Quadratic twists by: -7 |