Atkin-Lehner |
3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
61347z |
Isogeny class |
Conductor |
61347 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11005119726978663 = 32 · 117 · 137 |
Discriminant |
Eigenvalues |
-1 3- 2 0 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-140362362,-640076749443] |
[a1,a2,a3,a4,a6] |
Generators |
[8103343795156077660:-156735809492891075529:585535971896000] |
Generators of the group modulo torsion |
j |
35765103905346817/1287 |
j-invariant |
L |
5.624249904084 |
L(r)(E,1)/r! |
Ω |
0.043861844177483 |
Real period |
R |
32.056620107557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5577g4 4719j3 |
Quadratic twists by: -11 13 |