Atkin-Lehner |
3+ 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
12243d |
Isogeny class |
Conductor |
12243 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
5555738727 = 34 · 76 · 11 · 53 |
Discriminant |
Eigenvalues |
-1 3+ -4 7- 11- 4 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3045,-65844] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:23:1] |
Generators of the group modulo torsion |
j |
3122442985571281/5555738727 |
j-invariant |
L |
1.9644497579005 |
L(r)(E,1)/r! |
Ω |
0.64275935180768 |
Real period |
R |
1.0187585511206 |
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 |
36729v2 85701bc2 |
Quadratic twists by: -3 -7 |