Atkin-Lehner |
2- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
18512d |
Isogeny class |
Conductor |
18512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-26727190790144 = -1 · 215 · 13 · 894 |
Discriminant |
Eigenvalues |
2- -1 3 -1 -2 13+ 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7136,87296] |
[a1,a2,a3,a4,a6] |
j |
9809964306143/6525193064 |
j-invariant |
L |
1.6765127647363 |
L(r)(E,1)/r! |
Ω |
0.41912819118406 |
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 |
2314c1 74048w1 |
Quadratic twists by: -4 8 |