Atkin-Lehner |
2- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22736q |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
42336 |
Modular degree for the optimal curve |
Δ |
684766121984 = 212 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ -6 -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7317,-235171] |
[a1,a2,a3,a4,a6] |
j |
1835008/29 |
j-invariant |
L |
0.51668676401047 |
L(r)(E,1)/r! |
Ω |
0.51668676401052 |
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 |
1421a1 90944cx1 22736bd1 |
Quadratic twists by: -4 8 -7 |