Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74052f |
Isogeny class |
Conductor |
74052 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
23992848 = 24 · 36 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- -5 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165,781] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:27:1] [5:9:1] |
Generators of the group modulo torsion |
j |
352000/17 |
j-invariant |
L |
10.026937539466 |
L(r)(E,1)/r! |
Ω |
2.1053785675725 |
Real period |
R |
0.79375570849937 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8228d1 74052p1 |
Quadratic twists by: -3 -11 |