Atkin-Lehner |
2- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7744bc |
Isogeny class |
Conductor |
7744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-6799340234604544 = -1 · 218 · 1110 |
Discriminant |
Eigenvalues |
2- 2 -1 -2 11- 1 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19521,-4097311] |
[a1,a2,a3,a4,a6] |
Generators |
[364112083:-7829166036:704969] |
Generators of the group modulo torsion |
j |
-121 |
j-invariant |
L |
5.2318156171426 |
L(r)(E,1)/r! |
Ω |
0.17761292449445 |
Real period |
R |
14.7281388222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7744l2 1936l2 69696fu2 7744bb1 |
Quadratic twists by: -4 8 -3 -11 |