Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312d |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4269361509146055168 = -1 · 29 · 38 · 72 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-332064,123833448] |
[a1,a2,a3,a4,a6] |
j |
-4464412682696/4706920449 |
j-invariant |
L |
0.89470743751295 |
L(r)(E,1)/r! |
Ω |
0.22367685219408 |
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 |
81312bv2 7392k4 |
Quadratic twists by: -4 -11 |