Atkin-Lehner |
2- 7- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
85904x |
Isogeny class |
Conductor |
85904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12768 |
Modular degree for the optimal curve |
Δ |
1116752 = 24 · 7 · 132 · 59 |
Discriminant |
Eigenvalues |
2- -2 0 7- 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,546] |
[a1,a2,a3,a4,a6] |
j |
16384000000/69797 |
j-invariant |
L |
1.38258495073 |
L(r)(E,1)/r! |
Ω |
2.7651698848495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21476a1 |
Quadratic twists by: -4 |