Atkin-Lehner |
2- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
23072c |
Isogeny class |
Conductor |
23072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
266158592 = 29 · 72 · 1032 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ -2 -4 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-251,-1314] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:14:1] [-7:10:1] |
Generators of the group modulo torsion |
j |
3415662216/519841 |
j-invariant |
L |
6.5770976176564 |
L(r)(E,1)/r! |
Ω |
1.2117026865348 |
Real period |
R |
2.7139898634976 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23072d2 46144j2 |
Quadratic twists by: -4 8 |