Atkin-Lehner |
2- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22736p |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
77571162256 = 24 · 78 · 292 |
Discriminant |
Eigenvalues |
2- 1 -1 7+ 5 -2 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1486,17023] |
[a1,a2,a3,a4,a6] |
j |
3937024/841 |
j-invariant |
L |
2.0534441754933 |
L(r)(E,1)/r! |
Ω |
1.0267220877467 |
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 |
5684a1 90944cv1 22736x1 |
Quadratic twists by: -4 8 -7 |