Atkin-Lehner |
2- 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24528v |
Isogeny class |
Conductor |
24528 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
-5.9974614907682E+19 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 4 3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-348656,-381048108] |
[a1,a2,a3,a4,a6] |
j |
-1144343586227588209/14642239967695872 |
j-invariant |
L |
5.899739569219 |
L(r)(E,1)/r! |
Ω |
0.084281993845985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3066g1 98112bp1 73584be1 |
Quadratic twists by: -4 8 -3 |