Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
42483v |
Isogeny class |
Conductor |
42483 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-178904933882703 = -1 · 32 · 77 · 176 |
Discriminant |
Eigenvalues |
-1 3- -2 7- -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,13866,139635] |
[a1,a2,a3,a4,a6] |
Generators |
[15:585:1] |
Generators of the group modulo torsion |
j |
103823/63 |
j-invariant |
L |
3.0255522395725 |
L(r)(E,1)/r! |
Ω |
0.35036029197029 |
Real period |
R |
4.3177727455417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999795 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127449bi1 6069b1 147a1 |
Quadratic twists by: -3 -7 17 |