Atkin-Lehner |
3- 5+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
81075q |
Isogeny class |
Conductor |
81075 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
350880 |
Modular degree for the optimal curve |
Δ |
-3772703950386075 = -1 · 317 · 52 · 232 · 472 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 0 1 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-185643,30866609] |
[a1,a2,a3,a4,a6] |
Generators |
[279:-932:1] |
Generators of the group modulo torsion |
j |
-28302303051375738880/150908158015443 |
j-invariant |
L |
7.4272221441208 |
L(r)(E,1)/r! |
Ω |
0.44446258545153 |
Real period |
R |
0.24574364332918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989228 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81075i1 |
Quadratic twists by: 5 |