Atkin-Lehner |
3- 7- 19- 73- |
Signs for the Atkin-Lehner involutions |
Class |
87381i |
Isogeny class |
Conductor |
87381 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
31394445116035113 = 317 · 74 · 19 · 732 |
Discriminant |
Eigenvalues |
-1 3- 0 7- -2 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-161558735,790434650846] |
[a1,a2,a3,a4,a6] |
Generators |
[2892:587950:1] |
Generators of the group modulo torsion |
j |
639716442267069216187251625/43065082463697 |
j-invariant |
L |
4.2631148210962 |
L(r)(E,1)/r! |
Ω |
0.20440896716339 |
Real period |
R |
2.6069763976787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999565 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29127f2 |
Quadratic twists by: -3 |