Atkin-Lehner |
2- 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
18228i |
Isogeny class |
Conductor |
18228 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-1676649835196643888 = -1 · 24 · 39 · 78 · 314 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -2 -2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,211615,49701366] |
[a1,a2,a3,a4,a6] |
j |
556740459216896/890705528307 |
j-invariant |
L |
0.72555485686963 |
L(r)(E,1)/r! |
Ω |
0.18138871421741 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72912cq1 54684v1 2604e1 |
Quadratic twists by: -4 -3 -7 |