Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27930ba |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
117600 |
Modular degree for the optimal curve |
Δ |
-17034295178880 = -1 · 27 · 35 · 5 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 0 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3309,-211928] |
[a1,a2,a3,a4,a6] |
j |
-694769929/2954880 |
j-invariant |
L |
1.4319163335982 |
L(r)(E,1)/r! |
Ω |
0.2863832667196 |
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 |
83790ey1 27930y1 |
Quadratic twists by: -3 -7 |