Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8712g |
Isogeny class |
Conductor |
8712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
117340540213248 = 211 · 316 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 11+ -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12243,-15730] |
[a1,a2,a3,a4,a6] |
j |
102129622/59049 |
j-invariant |
L |
3.9726979296209 |
L(r)(E,1)/r! |
Ω |
0.49658724120262 |
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 |
17424n2 69696bg2 2904i2 8712u2 |
Quadratic twists by: -4 8 -3 -11 |