Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050bc |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
7144200 = 23 · 36 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72,216] |
[a1,a2,a3,a4,a6] |
Generators |
[3:3:1] |
Generators of the group modulo torsion |
j |
46585/8 |
j-invariant |
L |
3.6781365651735 |
L(r)(E,1)/r! |
Ω |
2.2483254139848 |
Real period |
R |
0.81797246570606 |
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 |
2450x1 22050fh1 22050t1 |
Quadratic twists by: -3 5 -7 |