Atkin-Lehner |
2- 3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35088p |
Isogeny class |
Conductor |
35088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
574881792 = 218 · 3 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-688,-7084] |
[a1,a2,a3,a4,a6] |
Generators |
[2020:3861:64] |
Generators of the group modulo torsion |
j |
8805624625/140352 |
j-invariant |
L |
6.1787771938412 |
L(r)(E,1)/r! |
Ω |
0.93297378324348 |
Real period |
R |
6.6226696878461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4386k1 105264bo1 |
Quadratic twists by: -4 -3 |