Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168bk |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-50074755268608 = -1 · 228 · 34 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3073,345695] |
[a1,a2,a3,a4,a6] |
Generators |
[77:756:1] |
Generators of the group modulo torsion |
j |
-12246522625/191020032 |
j-invariant |
L |
9.0276464922695 |
L(r)(E,1)/r! |
Ω |
0.53557964114043 |
Real period |
R |
2.1069804093433 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168ce1 1974f1 |
Quadratic twists by: -4 8 |