Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150fv |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2195495547300 = -1 · 22 · 36 · 52 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- 1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-107645,13620777] |
[a1,a2,a3,a4,a6] |
Generators |
[63:2630:1] |
Generators of the group modulo torsion |
j |
-7568921117048305/120466148 |
j-invariant |
L |
11.967662258032 |
L(r)(E,1)/r! |
Ω |
0.75323369039029 |
Real period |
R |
1.324031573277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350a2 84150dj2 |
Quadratic twists by: -3 5 |