Atkin-Lehner |
2+ 3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488n |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-943296 = -1 · 26 · 3 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -2 -5 1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23,-29] |
[a1,a2,a3,a4,a6] |
Generators |
[6:17:1] |
Generators of the group modulo torsion |
j |
4096/3 |
j-invariant |
L |
2.3481244041432 |
L(r)(E,1)/r! |
Ω |
1.5656533602364 |
Real period |
R |
0.74988642563701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999807 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488dy1 867e1 55488bo1 |
Quadratic twists by: -4 8 17 |