Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
22050bf |
Isogeny class |
Conductor |
22050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-70602670807200 = -1 · 25 · 37 · 52 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3537,413181] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1476:1] |
Generators of the group modulo torsion |
j |
-6655/96 |
j-invariant |
L |
3.8215729192966 |
L(r)(E,1)/r! |
Ω |
0.52126679776711 |
Real period |
R |
0.91641481283353 |
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 |
7350cl1 22050fj1 22050bg1 |
Quadratic twists by: -3 5 -7 |