Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416ca |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
222542401536 = 212 · 38 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1524,3040] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:140:1] |
Generators of the group modulo torsion |
j |
131096512/74529 |
j-invariant |
L |
7.3531160755738 |
L(r)(E,1)/r! |
Ω |
0.85514451409693 |
Real period |
R |
2.1496705978952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999342 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
52416db2 26208k1 17472bb2 |
Quadratic twists by: -4 8 -3 |