Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41574q |
Isogeny class |
Conductor |
41574 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
1111401733104 = 24 · 33 · 137 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -3 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5665,155609] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:539:1] |
Generators of the group modulo torsion |
j |
4165509529/230256 |
j-invariant |
L |
12.108488418834 |
L(r)(E,1)/r! |
Ω |
0.85779816354772 |
Real period |
R |
0.29407870768688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124722s1 3198c1 |
Quadratic twists by: -3 13 |