Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560bc |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-123383520000 = -1 · 28 · 33 · 54 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -2 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,16875] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-195:1] |
Generators of the group modulo torsion |
j |
-173056/16875 |
j-invariant |
L |
8.7255798969719 |
L(r)(E,1)/r! |
Ω |
0.85943219418014 |
Real period |
R |
0.28202017681161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20280u1 121680s1 40560s1 |
Quadratic twists by: -4 -3 13 |