Atkin-Lehner |
2- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
41038q |
Isogeny class |
Conductor |
41038 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
665856 |
Modular degree for the optimal curve |
Δ |
2391205941685508 = 22 · 179 · 712 |
Discriminant |
Eigenvalues |
2- 2 2 -4 -2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-512692,141063793] |
[a1,a2,a3,a4,a6] |
Generators |
[14316635561:190555441447:22188041] |
Generators of the group modulo torsion |
j |
125676215729/20164 |
j-invariant |
L |
13.221733337138 |
L(r)(E,1)/r! |
Ω |
0.44426375310399 |
Real period |
R |
14.880499753533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41038i1 |
Quadratic twists by: 17 |