Atkin-Lehner |
2+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
7744a |
Isogeny class |
Conductor |
7744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-150908652224 = -1 · 26 · 119 |
Discriminant |
Eigenvalues |
2+ 1 3 0 11+ 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3549,-84691] |
[a1,a2,a3,a4,a6] |
Generators |
[9336620:258002371:12167] |
Generators of the group modulo torsion |
j |
-32768 |
j-invariant |
L |
5.7800483708562 |
L(r)(E,1)/r! |
Ω |
0.30871133480919 |
Real period |
R |
9.3615745829818 |
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 |
7744s2 121b2 69696bf2 7744a1 |
Quadratic twists by: -4 8 -3 -11 |