Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690bu |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
76033342350 = 2 · 32 · 52 · 7 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4855206,-4118151114] |
[a1,a2,a3,a4,a6] |
Generators |
[-6936020432:3468392845:5451776] |
Generators of the group modulo torsion |
j |
524388516989299201/3150 |
j-invariant |
L |
9.5912141412661 |
L(r)(E,1)/r! |
Ω |
0.10170624932899 |
Real period |
R |
11.787886934948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999685 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
210c5 |
Quadratic twists by: 17 |