Atkin-Lehner |
2+ 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
8736d |
Isogeny class |
Conductor |
8736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-24760899072 = -1 · 29 · 312 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,728,-728] |
[a1,a2,a3,a4,a6] |
j |
83224499896/48361131 |
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 |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8736k4 17472co4 26208bm2 61152s2 |
Quadratic twists by: -4 8 -3 -7 |