Atkin-Lehner |
3+ 5+ 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
85095c |
Isogeny class |
Conductor |
85095 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
4471118929125 = 39 · 53 · 313 · 61 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 0 5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7128,-208096] |
[a1,a2,a3,a4,a6] |
Generators |
[-462:833:8] |
Generators of the group modulo torsion |
j |
2034864488448/227156375 |
j-invariant |
L |
4.9833095815653 |
L(r)(E,1)/r! |
Ω |
0.52335585745623 |
Real period |
R |
1.5869729675197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999849669 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85095f1 |
Quadratic twists by: -3 |