Atkin-Lehner |
2+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2024a |
Isogeny class |
Conductor |
2024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-44528 = -1 · 24 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ -1 0 0 11+ 1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,-11] |
[a1,a2,a3,a4,a6] |
Generators |
[6:11:1] |
Generators of the group modulo torsion |
j |
-4000000/2783 |
j-invariant |
L |
2.5494151809103 |
L(r)(E,1)/r! |
Ω |
1.3629977545594 |
Real period |
R |
0.46761177198974 |
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 |
4048a1 16192f1 18216k1 50600h1 |
Quadratic twists by: -4 8 -3 5 |