Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
22090l |
Isogeny class |
Conductor |
22090 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
830584000 = 26 · 53 · 473 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 -3 -3 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-281,1145] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:49:1] |
Generators of the group modulo torsion |
j |
23639903/8000 |
j-invariant |
L |
8.5371952452013 |
L(r)(E,1)/r! |
Ω |
1.4596707999896 |
Real period |
R |
0.48739273067954 |
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 |
110450h1 22090n1 |
Quadratic twists by: 5 -47 |