Atkin-Lehner |
3+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
58989a |
Isogeny class |
Conductor |
58989 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
478949679636561 = 32 · 74 · 536 |
Discriminant |
Eigenvalues |
1 3+ 2 7+ 4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-137699,-19696560] |
[a1,a2,a3,a4,a6] |
Generators |
[-62653427184842570:10531233706262307:300359170873000] |
Generators of the group modulo torsion |
j |
13027640977/21609 |
j-invariant |
L |
6.1465168210997 |
L(r)(E,1)/r! |
Ω |
0.24786186596042 |
Real period |
R |
24.798154396344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21a2 |
Quadratic twists by: 53 |