Atkin-Lehner |
2+ 3- 101- |
Signs for the Atkin-Lehner involutions |
Class |
4848d |
Isogeny class |
Conductor |
4848 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3840 |
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 |
[-7530:303:125] |
Generators of the group modulo torsion |
j |
541981500384256/9272709 |
j-invariant |
L |
4.7794383832026 |
L(r)(E,1)/r! |
Ω |
0.46848059593947 |
Real period |
R |
1.7003330997513 |
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 |
2424g1 19392x1 14544c1 121200h1 |
Quadratic twists by: -4 8 -3 5 |