Atkin-Lehner |
2- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7744v |
Isogeny class |
Conductor |
7744 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-14048223625216 = -1 · 216 · 118 |
Discriminant |
Eigenvalues |
2- 0 -3 -4 11- -3 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5324,234256] |
[a1,a2,a3,a4,a6] |
Generators |
[0:484:1] |
Generators of the group modulo torsion |
j |
-1188 |
j-invariant |
L |
2.5186795207137 |
L(r)(E,1)/r! |
Ω |
0.64530693953231 |
Real period |
R |
0.65051201901405 |
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 |
7744d1 1936d1 69696gu1 7744u1 |
Quadratic twists by: -4 8 -3 -11 |