Atkin-Lehner |
3+ 7- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
84987b |
Isogeny class |
Conductor |
84987 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-15374260214366067 = -1 · 33 · 74 · 196 · 712 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 2 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,59650,2020968] |
[a1,a2,a3,a4,a6] |
Generators |
[798:-24007:1] |
Generators of the group modulo torsion |
j |
869356924445980125/569417044976521 |
j-invariant |
L |
4.7056040231909 |
L(r)(E,1)/r! |
Ω |
0.24610741132636 |
Real period |
R |
0.79667180029229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84987d2 |
Quadratic twists by: -3 |