Atkin-Lehner |
2+ 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
40560f |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
488655331107840 = 210 · 32 · 5 · 139 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 6 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27096,-1338624] |
[a1,a2,a3,a4,a6] |
j |
202612/45 |
j-invariant |
L |
1.5120456951097 |
L(r)(E,1)/r! |
Ω |
0.37801142375981 |
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 |
20280z1 121680by1 40560m1 |
Quadratic twists by: -4 -3 13 |