Atkin-Lehner |
2+ 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560g |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
1478520000 = 26 · 33 · 54 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -4 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2463,-47012] |
[a1,a2,a3,a4,a6] |
j |
956253878208/855625 |
j-invariant |
L |
1.3554600596063 |
L(r)(E,1)/r! |
Ω |
0.67773010955297 |
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 |
106560f1 53280f2 106560s1 |
Quadratic twists by: -4 8 -3 |