Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640cj |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
3130410339717120 = 212 · 32 · 5 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 3 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100013365,385010684605] |
[a1,a2,a3,a4,a6] |
Generators |
[1310780932:18713823:226981] |
Generators of the group modulo torsion |
j |
1590409933520896/45 |
j-invariant |
L |
5.4651798995823 |
L(r)(E,1)/r! |
Ω |
0.23703122409659 |
Real period |
R |
11.528396566022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5415j2 86640ee2 |
Quadratic twists by: -4 -19 |