Atkin-Lehner |
2- 3- 7+ 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
87822bk |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-784593261892926864 = -1 · 24 · 36 · 72 · 172 · 416 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-182054,52104133] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:8459:1] |
Generators of the group modulo torsion |
j |
-915365676853713177/1076259618508816 |
j-invariant |
L |
11.83686248913 |
L(r)(E,1)/r! |
Ω |
0.25666594719092 |
Real period |
R |
0.9607869857322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004672 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9758a2 |
Quadratic twists by: -3 |