Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
18228c |
Isogeny class |
Conductor |
18228 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-5426913072 = -1 · 24 · 3 · 76 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-457,-5018] |
[a1,a2,a3,a4,a6] |
Generators |
[2046:16856:27] |
Generators of the group modulo torsion |
j |
-5619712/2883 |
j-invariant |
L |
4.7734599501749 |
L(r)(E,1)/r! |
Ω |
0.50399115069648 |
Real period |
R |
4.7356584967596 |
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 |
72912cy1 54684m1 372b1 |
Quadratic twists by: -4 -3 -7 |