Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22736w |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-2097096248576 = -1 · 28 · 710 · 29 |
Discriminant |
Eigenvalues |
2- -1 1 7- -1 -1 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1780,76028] |
[a1,a2,a3,a4,a6] |
Generators |
[89:784:1] |
Generators of the group modulo torsion |
j |
-20720464/69629 |
j-invariant |
L |
4.0066420149546 |
L(r)(E,1)/r! |
Ω |
0.72385182893915 |
Real period |
R |
2.7675843693222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5684d1 90944dq1 3248f1 |
Quadratic twists by: -4 8 -7 |