Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113256n |
Isogeny class |
Conductor |
113256 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4608000 |
Modular degree for the optimal curve |
Δ |
-3.774408319829E+21 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 11- 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5288547,-5536265218] |
[a1,a2,a3,a4,a6] |
Generators |
[216131897014:6591470326254:68417929] |
Generators of the group modulo torsion |
j |
-6184708364018/1427037183 |
j-invariant |
L |
6.4327669527489 |
L(r)(E,1)/r! |
Ω |
0.049175358313763 |
Real period |
R |
16.351601628667 |
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 |
37752p1 10296m1 |
Quadratic twists by: -3 -11 |