Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400ca |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1.8259946919104E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 11- 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-500133,-246413363] |
[a1,a2,a3,a4,a6] |
Generators |
[456011426676:9963414946727:406869021] |
Generators of the group modulo torsion |
j |
-122023936/161051 |
j-invariant |
L |
5.2002206139017 |
L(r)(E,1)/r! |
Ω |
0.085570073838234 |
Real period |
R |
15.192871703408 |
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 |
3025g2 1936g2 4400m2 |
Quadratic twists by: -4 5 -11 |