Atkin-Lehner |
2+ 3+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190o |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
823680 |
Modular degree for the optimal curve |
Δ |
-53042890133025000 = -1 · 23 · 32 · 55 · 138 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 5 13+ 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17072,-11121144] |
[a1,a2,a3,a4,a6] |
Generators |
[2267:106604:1] |
Generators of the group modulo torsion |
j |
-674636521/65025000 |
j-invariant |
L |
4.4403055179741 |
L(r)(E,1)/r! |
Ω |
0.15692323182647 |
Real period |
R |
0.47160061178469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999775209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86190bt1 |
Quadratic twists by: 13 |