Atkin-Lehner |
2+ 3- 5+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
34710k |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6776910562500 = 22 · 34 · 56 · 132 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-27139,1713962] |
[a1,a2,a3,a4,a6] |
Generators |
[10:1196:1] |
Generators of the group modulo torsion |
j |
2210457815672465449/6776910562500 |
j-invariant |
L |
4.7007916024933 |
L(r)(E,1)/r! |
Ω |
0.75156087443742 |
Real period |
R |
1.5636762644187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
104130bu2 |
Quadratic twists by: -3 |