Atkin-Lehner |
2- 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
116178bh |
Isogeny class |
Conductor |
116178 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-1858848 = -1 · 25 · 3 · 172 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 -5 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,11,65] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:7:1] |
Generators of the group modulo torsion |
j |
506447/6432 |
j-invariant |
L |
9.7731384739598 |
L(r)(E,1)/r! |
Ω |
1.9498548898704 |
Real period |
R |
1.0024477748579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956285 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116178y1 |
Quadratic twists by: 17 |