Atkin-Lehner |
2+ 41+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
34768b |
Isogeny class |
Conductor |
34768 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
556288 = 28 · 41 · 53 |
Discriminant |
Eigenvalues |
2+ 1 0 2 -4 -4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-153,-781] |
[a1,a2,a3,a4,a6] |
j |
1557376000/2173 |
j-invariant |
L |
1.3568342593071 |
L(r)(E,1)/r! |
Ω |
1.3568342593114 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17384b1 |
Quadratic twists by: -4 |