Atkin-Lehner |
2- 3- 13- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
16614v |
Isogeny class |
Conductor |
16614 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-38098074047904 = -1 · 25 · 39 · 132 · 713 |
Discriminant |
Eigenvalues |
2- 3- 3 5 3 13- -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6259,-229291] |
[a1,a2,a3,a4,a6] |
j |
37202839392887/52260732576 |
j-invariant |
L |
6.8911180638723 |
L(r)(E,1)/r! |
Ω |
0.34455590319362 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5538i1 |
Quadratic twists by: -3 |