Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52983h |
Isogeny class |
Conductor |
52983 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6.3830934093493E+20 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-96800099,-366547915582] |
[a1,a2,a3,a4,a6] |
Generators |
[2114735276739883:4403687529656484717:487443403] |
Generators of the group modulo torsion |
j |
231331938231569617/1472026689 |
j-invariant |
L |
5.2292833027009 |
L(r)(E,1)/r! |
Ω |
0.04813165227209 |
Real period |
R |
27.161353578513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999611 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17661f2 1827b2 |
Quadratic twists by: -3 29 |