Atkin-Lehner |
2- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
85400z |
Isogeny class |
Conductor |
85400 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
893412100000000 = 28 · 58 · 74 · 612 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-498175,-135330750] |
[a1,a2,a3,a4,a6] |
j |
3418294759624656/223353025 |
j-invariant |
L |
1.4376255228702 |
L(r)(E,1)/r! |
Ω |
0.17970318521986 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17080d2 |
Quadratic twists by: 5 |