Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5096d |
Isogeny class |
Conductor |
5096 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
132496 = 24 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 1 3 7- -3 13- -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44,-127] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:1:1] |
Generators of the group modulo torsion |
j |
12291328/169 |
j-invariant |
L |
5.0351988972977 |
L(r)(E,1)/r! |
Ω |
1.8517331377654 |
Real period |
R |
0.67979542983365 |
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 |
10192h1 40768u1 45864bz1 127400bl1 |
Quadratic twists by: -4 8 -3 5 |