Atkin-Lehner |
2- 5- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360cq |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-38234931200 = -1 · 214 · 52 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- -2 6 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-565,-10925] |
[a1,a2,a3,a4,a6] |
Generators |
[30:5:1] |
Generators of the group modulo torsion |
j |
-1219600384/2333675 |
j-invariant |
L |
8.409627365026 |
L(r)(E,1)/r! |
Ω |
0.46074843576713 |
Real period |
R |
3.0420169646566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103360bg1 25840x1 |
Quadratic twists by: -4 8 |