Atkin-Lehner |
2+ 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
27608b |
Isogeny class |
Conductor |
27608 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18188544 |
Modular degree for the optimal curve |
Δ |
-1.4776362668995E+28 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ -3 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,595427448,-1711698198304] |
[a1,a2,a3,a4,a6] |
j |
22798711731461319508437630428/14430041668940015778295349 |
j-invariant |
L |
0.54390209107616 |
L(r)(E,1)/r! |
Ω |
0.022662587128214 |
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 |
55216g1 |
Quadratic twists by: -4 |