Atkin-Lehner |
3+ 7- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86583l |
Isogeny class |
Conductor |
86583 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4736877453448270641 = 38 · 78 · 194 · 312 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6477752,6342210776] |
[a1,a2,a3,a4,a6] |
Generators |
[2680:89432:1] |
Generators of the group modulo torsion |
j |
255510309168718427377/40262794018209 |
j-invariant |
L |
3.2524500675768 |
L(r)(E,1)/r! |
Ω |
0.2359114336555 |
Real period |
R |
3.4466854999217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907521 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12369e2 |
Quadratic twists by: -7 |