Atkin-Lehner |
2- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103360bk |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
39276800000000 = 214 · 58 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8854268,-10140914192] |
[a1,a2,a3,a4,a6] |
j |
4685562787485638273616/2397265625 |
j-invariant |
L |
0.35008377102739 |
L(r)(E,1)/r! |
Ω |
0.087520822204042 |
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 |
103360g1 25840h1 |
Quadratic twists by: -4 8 |