Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27930z |
Isogeny class |
Conductor |
27930 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
655200 |
Modular degree for the optimal curve |
Δ |
-1.5786143160937E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 0 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,543776,112833326] |
[a1,a2,a3,a4,a6] |
j |
3084612735152711/2738367406080 |
j-invariant |
L |
1.2938892208089 |
L(r)(E,1)/r! |
Ω |
0.14376546897878 |
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 |
83790ew1 27930v1 |
Quadratic twists by: -3 -7 |