Atkin-Lehner |
2+ 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424i |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3.2948423059721E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 6 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8571649,-13019092223] |
[a1,a2,a3,a4,a6] |
Generators |
[16318562562991348196910971436170133849956539880763:-4018269480743742288837219429551514876426517860535376:268488874981293181372125332905781774238828677] |
Generators of the group modulo torsion |
j |
-265691081942695311553/125688259352575296 |
j-invariant |
L |
6.7772933193308 |
L(r)(E,1)/r! |
Ω |
0.043139046138709 |
Real period |
R |
78.551728955006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47424dh2 1482l2 |
Quadratic twists by: -4 8 |