Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2184a |
Isogeny class |
Conductor |
2184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
7429968 = 24 · 36 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-203,1176] |
[a1,a2,a3,a4,a6] |
Generators |
[7:7:1] |
Generators of the group modulo torsion |
j |
58107136000/464373 |
j-invariant |
L |
2.6354846423981 |
L(r)(E,1)/r! |
Ω |
2.3616572405052 |
Real period |
R |
0.55797356982978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4368l1 17472y1 6552s1 54600cm1 |
Quadratic twists by: -4 8 -3 5 |