Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050bh |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
7505946440190450 = 2 · 312 · 52 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-65277,-4865589] |
[a1,a2,a3,a4,a6] |
Generators |
[-1170:10503:8] |
Generators of the group modulo torsion |
j |
5975305/1458 |
j-invariant |
L |
3.4734333651881 |
L(r)(E,1)/r! |
Ω |
0.30399644900153 |
Real period |
R |
5.7129505568182 |
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 |
7350cm1 22050fk1 22050u1 |
Quadratic twists by: -3 5 -7 |