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 |
-1.2046362295472E+22 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5862557,7595978186] |
[a1,a2,a3,a4,a6] |
Generators |
[-1282:114688:1] |
Generators of the group modulo torsion |
j |
-189407299222616642497/102392390037078351 |
j-invariant |
L |
3.2524500675768 |
L(r)(E,1)/r! |
Ω |
0.11795571682775 |
Real period |
R |
1.7233427499609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999907521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12369e4 |
Quadratic twists by: -7 |