Atkin-Lehner |
2+ 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
48576g |
Isogeny class |
Conductor |
48576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.351198236026E+23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-199363649,1083178868289] |
[a1,a2,a3,a4,a6] |
Generators |
[112946919402727445:6418274872304612372:9196324145351] |
Generators of the group modulo torsion |
j |
3342887139776073669969553/1278380674753560576 |
j-invariant |
L |
4.8846160033018 |
L(r)(E,1)/r! |
Ω |
0.094490632815838 |
Real period |
R |
25.847091175754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48576dz2 1518s2 |
Quadratic twists by: -4 8 |