Atkin-Lehner |
2+ 3- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16926t |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
514065097728 = 210 · 34 · 7 · 134 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 2 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16229,-796336] |
[a1,a2,a3,a4,a6] |
j |
472672705032827209/514065097728 |
j-invariant |
L |
3.3841387934373 |
L(r)(E,1)/r! |
Ω |
0.42301734917966 |
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 |
50778bk1 118482i1 |
Quadratic twists by: -3 -7 |