Atkin-Lehner |
2- 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76874u |
Isogeny class |
Conductor |
76874 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.2927852363866E+23 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-143893299,-664107168877] |
[a1,a2,a3,a4,a6] |
Generators |
[-300648285:503847098:42875] |
Generators of the group modulo torsion |
j |
13650604687969870082337/5355904881666304 |
j-invariant |
L |
9.8528841646959 |
L(r)(E,1)/r! |
Ω |
0.043591281731968 |
Real period |
R |
7.0633993280375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000006868 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4522j2 |
Quadratic twists by: 17 |