Atkin-Lehner |
2- 3+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
2424g |
Isogeny class |
Conductor |
2424 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
2373813504 = 28 · 32 · 1013 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 -2 1 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10785,434709] |
[a1,a2,a3,a4,a6] |
Generators |
[36:303:1] |
Generators of the group modulo torsion |
j |
541981500384256/9272709 |
j-invariant |
L |
2.8705040542174 |
L(r)(E,1)/r! |
Ω |
1.3334231816646 |
Real period |
R |
0.17939441467199 |
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 |
4848d1 19392m1 7272a1 60600n1 |
Quadratic twists by: -4 8 -3 5 |