Atkin-Lehner |
2+ 13- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
8398f |
Isogeny class |
Conductor |
8398 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
4350134976512 = 222 · 132 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 2 0 -2 -4 13- 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-13030,558228] |
[a1,a2,a3,a4,a6] |
j |
244685952397419625/4350134976512 |
j-invariant |
L |
1.5554829064606 |
L(r)(E,1)/r! |
Ω |
0.77774145323028 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67184v1 75582bo1 109174l1 |
Quadratic twists by: -4 -3 13 |