Atkin-Lehner |
2+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664p |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
3690496 = 212 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 0 2 2 -6 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4804,-128160] |
[a1,a2,a3,a4,a6] |
Generators |
[21186442002690:-569493812024415:29047689224] |
Generators of the group modulo torsion |
j |
2993455182528/901 |
j-invariant |
L |
6.5107306793673 |
L(r)(E,1)/r! |
Ω |
0.57345429898345 |
Real period |
R |
22.707060321191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57664q2 28832e1 |
Quadratic twists by: -4 8 |