Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
4950z |
Isogeny class |
Conductor |
4950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
8984250000 = 24 · 33 · 56 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2180,39447] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:285:1] |
Generators of the group modulo torsion |
j |
2714704875/21296 |
j-invariant |
L |
5.3077815391838 |
L(r)(E,1)/r! |
Ω |
1.3072461207518 |
Real period |
R |
0.33835642825312 |
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 |
39600bx1 4950b3 198d1 54450k1 |
Quadratic twists by: -4 -3 5 -11 |