Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
798c |
Isogeny class |
Conductor |
798 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
904932 = 22 · 35 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-92,326] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-38:1] |
Generators of the group modulo torsion |
j |
84778086457/904932 |
j-invariant |
L |
1.8270977123846 |
L(r)(E,1)/r! |
Ω |
2.8121213631545 |
Real period |
R |
0.12994444239313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6384x1 25536b1 2394l1 19950cd1 |
Quadratic twists by: -4 8 -3 5 |