Atkin-Lehner |
2+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
22090j |
Isogeny class |
Conductor |
22090 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
541440 |
Modular degree for the optimal curve |
Δ |
1190564333088050000 = 24 · 55 · 478 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 -1 -2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3995022,3071342756] |
[a1,a2,a3,a4,a6] |
Generators |
[920:12794:1] |
Generators of the group modulo torsion |
j |
296141003881/50000 |
j-invariant |
L |
5.3838862574108 |
L(r)(E,1)/r! |
Ω |
0.26503749135236 |
Real period |
R |
0.67712260001902 |
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 |
110450bg1 22090e1 |
Quadratic twists by: 5 -47 |