Atkin-Lehner |
2- 3- 11+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346bu |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
2163718656 = 29 · 36 · 11 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 3 11+ 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-698,6905] |
[a1,a2,a3,a4,a6] |
Generators |
[9:31:1] |
Generators of the group modulo torsion |
j |
51520374361/2968064 |
j-invariant |
L |
11.80102153384 |
L(r)(E,1)/r! |
Ω |
1.4418133563395 |
Real period |
R |
0.45471371457698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006829 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11594a1 |
Quadratic twists by: -3 |