Atkin-Lehner |
2+ 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680ce |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-7394669936640000 = -1 · 217 · 36 · 54 · 73 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,41439,-2550465] |
[a1,a2,a3,a4,a6] |
Generators |
[282:5625:1] |
Generators of the group modulo torsion |
j |
60038675812078/56416854375 |
j-invariant |
L |
8.0786026842058 |
L(r)(E,1)/r! |
Ω |
0.22855847478213 |
Real period |
R |
2.9454908444763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999324476 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680dq2 15960a2 |
Quadratic twists by: -4 8 |