Atkin-Lehner |
2+ 3+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9024a |
Isogeny class |
Conductor |
9024 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
34354368 = 26 · 35 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 0 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-308,-1962] |
[a1,a2,a3,a4,a6] |
Generators |
[2795:5348:125] |
Generators of the group modulo torsion |
j |
50653000000/536787 |
j-invariant |
L |
3.8129447653205 |
L(r)(E,1)/r! |
Ω |
1.1400461923357 |
Real period |
R |
6.6891057414239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9024r1 4512l2 27072v1 |
Quadratic twists by: -4 8 -3 |