Atkin-Lehner |
3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48165v |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
Δ |
35209819125 = 35 · 53 · 132 · 193 |
Discriminant |
Eigenvalues |
0 3- 5- -2 -6 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-128145,-17699119] |
[a1,a2,a3,a4,a6] |
Generators |
[-207:1:1] |
Generators of the group modulo torsion |
j |
1377036312757141504/208342125 |
j-invariant |
L |
4.8607632142121 |
L(r)(E,1)/r! |
Ω |
0.25233288889028 |
Real period |
R |
1.2842197557885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48165p2 |
Quadratic twists by: 13 |