Atkin-Lehner |
3+ 7- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86583d |
Isogeny class |
Conductor |
86583 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
121081793939812503 = 32 · 79 · 192 · 314 |
Discriminant |
Eigenvalues |
1 3+ 0 7- -2 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-145555,13227586] |
[a1,a2,a3,a4,a6] |
Generators |
[-398:3082:1] [-610:39407:8] |
Generators of the group modulo torsion |
j |
2898821808051625/1029178267047 |
j-invariant |
L |
11.190119236017 |
L(r)(E,1)/r! |
Ω |
0.30368720846441 |
Real period |
R |
4.6059394848015 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12369k2 |
Quadratic twists by: -7 |