Atkin-Lehner |
2+ 3+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
85782b |
Isogeny class |
Conductor |
85782 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
16096397304210084 = 22 · 34 · 174 · 296 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1458311,-678414495] |
[a1,a2,a3,a4,a6] |
Generators |
[-694490:430419:1000] |
Generators of the group modulo torsion |
j |
576615941610337/27060804 |
j-invariant |
L |
2.58771377484 |
L(r)(E,1)/r! |
Ω |
0.13738464659746 |
Real period |
R |
9.4177691709293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999985589 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102b3 |
Quadratic twists by: 29 |