Atkin-Lehner |
2+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
40222f |
Isogeny class |
Conductor |
40222 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2.3273898096788E+20 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-97686,734080232] |
[a1,a2,a3,a4,a6] |
Generators |
[-883:11933:1] [-220:27403:1] |
Generators of the group modulo torsion |
j |
-21357685518625/48217980236608 |
j-invariant |
L |
4.8934757165885 |
L(r)(E,1)/r! |
Ω |
0.14178183305396 |
Real period |
R |
1.4380884851937 |
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 |
3094i2 |
Quadratic twists by: 13 |