Atkin-Lehner |
2- 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47880be |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-119722503600000000 = -1 · 210 · 38 · 58 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59043,17539342] |
[a1,a2,a3,a4,a6] |
Generators |
[-138:4802:1] [107:3528:1] |
Generators of the group modulo torsion |
j |
-30493092792964/160379296875 |
j-invariant |
L |
8.7492428522833 |
L(r)(E,1)/r! |
Ω |
0.28706132394091 |
Real period |
R |
7.6196635723771 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760z3 15960i4 |
Quadratic twists by: -4 -3 |