Atkin-Lehner |
2- 3+ 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22770ba |
Isogeny class |
Conductor |
22770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2273015250000 = 24 · 33 · 56 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4943,113607] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:408:1] |
Generators of the group modulo torsion |
j |
494594642264787/84185750000 |
j-invariant |
L |
7.7369147200464 |
L(r)(E,1)/r! |
Ω |
0.78245429862924 |
Real period |
R |
1.236001056803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22770f2 113850a2 |
Quadratic twists by: -3 5 |