Atkin-Lehner |
2- 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150cd |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
444924988593750 = 2 · 310 · 57 · 7 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19838,-364219] |
[a1,a2,a3,a4,a6] |
j |
55258451698969/28475199270 |
j-invariant |
L |
3.4027097031026 |
L(r)(E,1)/r! |
Ω |
0.42533871527455 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430k2 |
Quadratic twists by: 5 |