Atkin-Lehner |
2+ 3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
87150w |
Isogeny class |
Conductor |
87150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8476699218750 = -1 · 2 · 32 · 510 · 7 · 832 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1375,140875] |
[a1,a2,a3,a4,a6] |
Generators |
[1:373:1] |
Generators of the group modulo torsion |
j |
-18420660721/542508750 |
j-invariant |
L |
4.0586509854905 |
L(r)(E,1)/r! |
Ω |
0.61402706958016 |
Real period |
R |
1.6524723336915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017284 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430bj2 |
Quadratic twists by: 5 |