Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550fh |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3929628937500 = 22 · 38 · 56 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33080,2322047] |
[a1,a2,a3,a4,a6] |
Generators |
[-147:2071:1] |
Generators of the group modulo torsion |
j |
351447414193/344988 |
j-invariant |
L |
11.205608168956 |
L(r)(E,1)/r! |
Ω |
0.77943818139264 |
Real period |
R |
1.7970649260696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023555 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38850bo2 4662b2 |
Quadratic twists by: -3 5 |