Atkin-Lehner |
2- 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
41664dv |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
42699614281777152 = 214 · 318 · 7 · 312 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -2 -2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-117265,11795279] |
[a1,a2,a3,a4,a6] |
Generators |
[-373:1944:1] [5:3348:1] |
Generators of the group modulo torsion |
j |
10884605672501584/2606177629503 |
j-invariant |
L |
8.2808551826789 |
L(r)(E,1)/r! |
Ω |
0.33934721121449 |
Real period |
R |
0.67784189017265 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664w2 10416w2 124992fj2 |
Quadratic twists by: -4 8 -3 |