Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22736l |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
30912 |
Modular degree for the optimal curve |
Δ |
2097096248576 = 28 · 710 · 29 |
Discriminant |
Eigenvalues |
2+ -2 -1 7- 2 5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3201,-3557] |
[a1,a2,a3,a4,a6] |
j |
50176/29 |
j-invariant |
L |
0.69394718343058 |
L(r)(E,1)/r! |
Ω |
0.69394718343062 |
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 |
11368f1 90944ed1 22736c1 |
Quadratic twists by: -4 8 -7 |