Atkin-Lehner |
2+ 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
4944a |
Isogeny class |
Conductor |
4944 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1600 |
Modular degree for the optimal curve |
Δ |
-51259392 = -1 · 211 · 35 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -5 -4 -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,88,-108] |
[a1,a2,a3,a4,a6] |
Generators |
[4:18:1] |
Generators of the group modulo torsion |
j |
36382894/25029 |
j-invariant |
L |
4.9612385976343 |
L(r)(E,1)/r! |
Ω |
1.1320802627945 |
Real period |
R |
0.43824088809638 |
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 |
2472a1 19776z1 14832c1 123600b1 |
Quadratic twists by: -4 8 -3 5 |