Atkin-Lehner |
2+ 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86730bp |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
101590565922562500 = 22 · 34 · 56 · 78 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-137373,12190756] |
[a1,a2,a3,a4,a6] |
Generators |
[620:-13173:1] |
Generators of the group modulo torsion |
j |
2436885228142009/863505562500 |
j-invariant |
L |
5.1000995530889 |
L(r)(E,1)/r! |
Ω |
0.30820639391259 |
Real period |
R |
0.68948650118546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999935809 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12390c2 |
Quadratic twists by: -7 |