Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
22050cd |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-87143867967744000 = -1 · 211 · 310 · 53 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 5 -1 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,42768,13778176] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:3338:1] |
Generators of the group modulo torsion |
j |
16468459/165888 |
j-invariant |
L |
4.2956124411885 |
L(r)(E,1)/r! |
Ω |
0.2501152622755 |
Real period |
R |
1.4312109552038 |
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 |
7350bz1 22050fd1 22050cu1 |
Quadratic twists by: -3 5 -7 |