Atkin-Lehner |
2+ 3- 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
34710l |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1204784100 = -1 · 22 · 32 · 52 · 132 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,71,-1648] |
[a1,a2,a3,a4,a6] |
Generators |
[13:32:1] |
Generators of the group modulo torsion |
j |
40388911991/1204784100 |
j-invariant |
L |
5.4029143224984 |
L(r)(E,1)/r! |
Ω |
0.74203162566283 |
Real period |
R |
0.910155668512 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104130cc2 |
Quadratic twists by: -3 |