Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51984bo |
Isogeny class |
Conductor |
51984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
237057043385088 = 28 · 39 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 0 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48735,-4074246] |
[a1,a2,a3,a4,a6] |
Generators |
[716543881993980:16108409487404017:1197770328000] |
Generators of the group modulo torsion |
j |
54000 |
j-invariant |
L |
7.1359219968014 |
L(r)(E,1)/r! |
Ω |
0.32168263671341 |
Real period |
R |
22.183112118595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999757 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12996f4 51984bo2 144a4 |
Quadratic twists by: -4 -3 -19 |