Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5544h |
Isogeny class |
Conductor |
5544 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-96246090864 = -1 · 24 · 313 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11+ -3 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111,-14933] |
[a1,a2,a3,a4,a6] |
Generators |
[143:1701:1] |
Generators of the group modulo torsion |
j |
-12967168/8251551 |
j-invariant |
L |
4.6623558521354 |
L(r)(E,1)/r! |
Ω |
0.4802585180254 |
Real period |
R |
0.40450053436019 |
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 |
11088r1 44352cr1 1848l1 38808z1 |
Quadratic twists by: -4 8 -3 -7 |