Atkin-Lehner |
3- 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18249p |
Isogeny class |
Conductor |
18249 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
694403082991233 = 36 · 77 · 114 · 79 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1354326,606528139] |
[a1,a2,a3,a4,a6] |
Generators |
[1067:18870:1] |
Generators of the group modulo torsion |
j |
274721658212865197265625/694403082991233 |
j-invariant |
L |
7.8511277851923 |
L(r)(E,1)/r! |
Ω |
0.4409260612712 |
Real period |
R |
0.42395229121686 |
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 |
54747r1 127743p1 |
Quadratic twists by: -3 -7 |