Atkin-Lehner |
2- 5+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17290i |
Isogeny class |
Conductor |
17290 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
396480 |
Modular degree for the optimal curve |
Δ |
-1.7636746330112E+19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -5 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-566391,-260512691] |
[a1,a2,a3,a4,a6] |
Generators |
[1259:31370:1] |
Generators of the group modulo torsion |
j |
-20094295813407647194609/17636746330112000000 |
j-invariant |
L |
4.8758223501127 |
L(r)(E,1)/r! |
Ω |
0.083935312362384 |
Real period |
R |
0.41493027809846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86450n1 121030bj1 |
Quadratic twists by: 5 -7 |