Atkin-Lehner |
5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
12425a |
Isogeny class |
Conductor |
12425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-70054842769296875 = -1 · 57 · 7 · 716 |
Discriminant |
Eigenvalues |
0 -1 5+ 7+ 3 1 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,28867,12584043] |
[a1,a2,a3,a4,a6] |
Generators |
[-55803:4473222:1331] |
Generators of the group modulo torsion |
j |
170252539265024/4483509937235 |
j-invariant |
L |
2.8078524520705 |
L(r)(E,1)/r! |
Ω |
0.26035644768948 |
Real period |
R |
2.6961618167982 |
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 |
111825l2 2485d2 86975c2 |
Quadratic twists by: -3 5 -7 |