Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320cg |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
54954348134400 = 214 · 38 · 52 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56200,5096948] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:2640:1] |
Generators of the group modulo torsion |
j |
4792702134385801/13416588900 |
j-invariant |
L |
7.6536929438518 |
L(r)(E,1)/r! |
Ω |
0.63099468677458 |
Real period |
R |
0.75809799831427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4290f2 102960cu2 |
Quadratic twists by: -4 -3 |