Atkin-Lehner |
2+ 3- 13- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
115362g |
Isogeny class |
Conductor |
115362 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.904116815468E+22 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33261696,-73528010816] |
[a1,a2,a3,a4,a6] |
Generators |
[-52053303640:-153297514096:15069223] |
Generators of the group modulo torsion |
j |
5582508088336529193732097/26119572228641915712 |
j-invariant |
L |
6.8323143752466 |
L(r)(E,1)/r! |
Ω |
0.062883359933617 |
Real period |
R |
13.581324087117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069793 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38454i3 |
Quadratic twists by: -3 |