Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
22050di |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
-283671445207500 = -1 · 22 · 39 · 54 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 3 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,14470,452197] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:545:1] |
Generators of the group modulo torsion |
j |
4725/4 |
j-invariant |
L |
7.8706455629315 |
L(r)(E,1)/r! |
Ω |
0.35560129866652 |
Real period |
R |
1.8444452613189 |
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 |
22050l1 22050a1 22050dm1 |
Quadratic twists by: -3 5 -7 |