Atkin-Lehner |
2- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
41038n |
Isogeny class |
Conductor |
41038 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-44649344 = -1 · 27 · 173 · 71 |
Discriminant |
Eigenvalues |
2- -1 -1 -1 4 3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,79,207] |
[a1,a2,a3,a4,a6] |
Generators |
[1:16:1] |
Generators of the group modulo torsion |
j |
11089567/9088 |
j-invariant |
L |
6.7816293633405 |
L(r)(E,1)/r! |
Ω |
1.3071653634565 |
Real period |
R |
0.37057445899661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999894 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41038g1 |
Quadratic twists by: 17 |