Atkin-Lehner |
2- 3+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
4944g |
Isogeny class |
Conductor |
4944 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-79104 = -1 · 28 · 3 · 103 |
Discriminant |
Eigenvalues |
2- 3+ -1 4 0 3 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4,12] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] |
Generators of the group modulo torsion |
j |
21296/309 |
j-invariant |
L |
3.4792284578174 |
L(r)(E,1)/r! |
Ω |
2.5448340854896 |
Real period |
R |
1.3671730026156 |
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 |
1236b1 19776bf1 14832o1 123600bz1 |
Quadratic twists by: -4 8 -3 5 |