Atkin-Lehner |
2+ 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
8736d |
Isogeny class |
Conductor |
8736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2763790848 = 29 · 33 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2072,-35532] |
[a1,a2,a3,a4,a6] |
j |
1922350562504/5398029 |
j-invariant |
L |
1.4154285406421 |
L(r)(E,1)/r! |
Ω |
0.70771427032107 |
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 |
8736k3 17472co3 26208bm4 61152s4 |
Quadratic twists by: -4 8 -3 -7 |