Atkin-Lehner |
3- 7- 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
84987k |
Isogeny class |
Conductor |
84987 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
502934283873 = 37 · 74 · 19 · 712 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 2 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2084,13790] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:235:1] |
Generators of the group modulo torsion |
j |
1372441819897/689896137 |
j-invariant |
L |
5.3673860865994 |
L(r)(E,1)/r! |
Ω |
0.82278771154921 |
Real period |
R |
0.81542693373624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28329e2 |
Quadratic twists by: -3 |