Atkin-Lehner |
2- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
34112u |
Isogeny class |
Conductor |
34112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4654514176 = -1 · 214 · 132 · 412 |
Discriminant |
Eigenvalues |
2- -2 -2 -4 0 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-689,7471] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:120:1] [-5:104:1] |
Generators of the group modulo torsion |
j |
-2211014608/284089 |
j-invariant |
L |
4.6795880388633 |
L(r)(E,1)/r! |
Ω |
1.3322136360433 |
Real period |
R |
0.87816021249419 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34112k2 8528h2 |
Quadratic twists by: -4 8 |