Atkin-Lehner |
2+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
7744j |
Isogeny class |
Conductor |
7744 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-230166095875538944 = -1 · 230 · 118 |
Discriminant |
Eigenvalues |
2+ 2 3 2 11- -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-402849,-100951519] |
[a1,a2,a3,a4,a6] |
j |
-128667913/4096 |
j-invariant |
L |
4.539539964144 |
L(r)(E,1)/r! |
Ω |
0.094573749252999 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7744bh2 242b2 69696dh2 7744k2 |
Quadratic twists by: -4 8 -3 -11 |