Atkin-Lehner |
3- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
8463h |
Isogeny class |
Conductor |
8463 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1789184385878799 = 3 · 710 · 133 · 312 |
Discriminant |
Eigenvalues |
1 3- -2 7+ -2 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-46007,3203135] |
[a1,a2,a3,a4,a6] |
j |
10769161433873320297/1789184385878799 |
j-invariant |
L |
1.3479001631053 |
L(r)(E,1)/r! |
Ω |
0.44930005436845 |
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 |
25389g2 59241c2 110019u2 |
Quadratic twists by: -3 -7 13 |