Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560bv |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-42704516874240 = -1 · 216 · 33 · 5 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4000,-300288] |
[a1,a2,a3,a4,a6] |
Generators |
[47405:932204:125] |
Generators of the group modulo torsion |
j |
357911/2160 |
j-invariant |
L |
4.3048171712081 |
L(r)(E,1)/r! |
Ω |
0.32128016572584 |
Real period |
R |
6.6994754585579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5070v1 121680dz1 240b1 |
Quadratic twists by: -4 -3 13 |