Atkin-Lehner |
2+ 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47880o |
Isogeny class |
Conductor |
47880 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1504105575840000 = 28 · 312 · 54 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44967,3160474] |
[a1,a2,a3,a4,a6] |
Generators |
[-157:2520:1] |
Generators of the group modulo torsion |
j |
53881287098704/8059550625 |
j-invariant |
L |
6.4963231355838 |
L(r)(E,1)/r! |
Ω |
0.45766181708066 |
Real period |
R |
1.7743241005513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95760bp2 15960n2 |
Quadratic twists by: -4 -3 |