Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560c |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-2029799067678720 = -1 · 211 · 35 · 5 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -1 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27096,2774160] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:2028:1] |
Generators of the group modulo torsion |
j |
-1316978/1215 |
j-invariant |
L |
4.3334108755576 |
L(r)(E,1)/r! |
Ω |
0.42506417783192 |
Real period |
R |
0.84956011773268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20280l1 121680bm1 40560j1 |
Quadratic twists by: -4 -3 13 |