Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18876k |
Isogeny class |
Conductor |
18876 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-20282287486526208 = -1 · 28 · 37 · 118 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 5 11- 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,49691,-5347465] |
[a1,a2,a3,a4,a6] |
j |
247267328/369603 |
j-invariant |
L |
2.8485286012043 |
L(r)(E,1)/r! |
Ω |
0.20346632865745 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75504bo1 56628p1 18876m1 |
Quadratic twists by: -4 -3 -11 |