Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
22090k |
Isogeny class |
Conductor |
22090 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
44180 = 22 · 5 · 472 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 3 4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23,-42] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2:1] |
Generators of the group modulo torsion |
j |
571849/20 |
j-invariant |
L |
2.6136279681205 |
L(r)(E,1)/r! |
Ω |
2.1962696676795 |
Real period |
R |
0.59501526761102 |
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 |
110450bd1 22090f1 |
Quadratic twists by: 5 -47 |