Atkin-Lehner |
2- 3+ 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960bi |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-6316800 = -1 · 28 · 3 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 -2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-141,705] |
[a1,a2,a3,a4,a6] |
Generators |
[5:10:1] [8:5:1] |
Generators of the group modulo torsion |
j |
-1219600384/24675 |
j-invariant |
L |
8.1449982332141 |
L(r)(E,1)/r! |
Ω |
2.3822638363679 |
Real period |
R |
0.85475400633 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19740s1 |
Quadratic twists by: -4 |