Atkin-Lehner |
2+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
40222f |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.6967758918986E+23 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,879134,-19815868200] |
[a1,a2,a3,a4,a6] |
Generators |
[3095:110499:1] [70383:338285:27] |
Generators of the group modulo torsion |
j |
15567882240377375/35153160025570132 |
j-invariant |
L |
4.8934757165885 |
L(r)(E,1)/r! |
Ω |
0.047260611017988 |
Real period |
R |
12.942796366743 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3094i4 |
Quadratic twists by: 13 |