Atkin-Lehner |
2- 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240bp |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
759606336000000 = 212 · 311 · 56 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42843,-3145142] |
[a1,a2,a3,a4,a6] |
j |
2912566550041/254390625 |
j-invariant |
L |
2.6695186539561 |
L(r)(E,1)/r! |
Ω |
0.33368983171772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3015a1 16080y1 |
Quadratic twists by: -4 -3 |