Atkin-Lehner |
2+ 7+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22568b |
Isogeny class |
Conductor |
22568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
6346482688 = 210 · 7 · 134 · 31 |
Discriminant |
Eigenvalues |
2+ 0 4 7+ -2 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-523,2550] |
[a1,a2,a3,a4,a6] |
j |
15450012036/6197737 |
j-invariant |
L |
2.4312196221844 |
L(r)(E,1)/r! |
Ω |
1.2156098110922 |
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 |
45136b1 |
Quadratic twists by: -4 |