Atkin-Lehner |
3- 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
8211g |
Isogeny class |
Conductor |
8211 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
7.5369684953617E+24 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-140375239,-626389658896] |
[a1,a2,a3,a4,a6] |
Generators |
[-6463:107654:1] |
Generators of the group modulo torsion |
j |
305911101919426600852193880817/7536968495361731104402689 |
j-invariant |
L |
2.7873080593472 |
L(r)(E,1)/r! |
Ω |
0.043926761328519 |
Real period |
R |
2.6438970753514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24633d2 57477d2 |
Quadratic twists by: -3 -7 |