Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8112v |
Isogeny class |
Conductor |
8112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-104522324115456 = -1 · 236 · 32 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -3 2 6 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8368,391104] |
[a1,a2,a3,a4,a6] |
j |
93603087383/150994944 |
j-invariant |
L |
1.6267740549331 |
L(r)(E,1)/r! |
Ω |
0.40669351373327 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1014f2 32448dc2 24336bw2 8112u2 |
Quadratic twists by: -4 8 -3 13 |