Atkin-Lehner |
3- 5+ 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
54315d |
Isogeny class |
Conductor |
54315 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-57684861254115 = -1 · 38 · 5 · 173 · 713 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 -3 -1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3648,375129] |
[a1,a2,a3,a4,a6] |
Generators |
[-686:1913:8] [-19:661:1] |
Generators of the group modulo torsion |
j |
-7364795170816/79128753435 |
j-invariant |
L |
6.4818366831325 |
L(r)(E,1)/r! |
Ω |
0.53337433002466 |
Real period |
R |
3.0381274080249 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999895 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
18105g2 |
Quadratic twists by: -3 |