Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050bm |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-68612896800 = -1 · 25 · 36 · 52 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1332,22896] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:174:1] |
Generators of the group modulo torsion |
j |
-121945/32 |
j-invariant |
L |
3.8465282751959 |
L(r)(E,1)/r! |
Ω |
1.0439666361003 |
Real period |
R |
1.842265903039 |
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 |
2450v1 22050fq3 450d1 |
Quadratic twists by: -3 5 -7 |