Atkin-Lehner |
2- 3+ 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320bl |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-10298572800 = -1 · 214 · 3 · 52 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,544,0] |
[a1,a2,a3,a4,a6] |
Generators |
[16:112:1] |
Generators of the group modulo torsion |
j |
4338722591/2514300 |
j-invariant |
L |
5.4581429741765 |
L(r)(E,1)/r! |
Ω |
0.77162201367344 |
Real period |
R |
1.7683991963494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999610016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790z1 |
Quadratic twists by: -4 |