Atkin-Lehner |
2- 3- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778bu |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
-1605311282837716272 = -1 · 24 · 37 · 710 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,291685,6208251] |
[a1,a2,a3,a4,a6] |
Generators |
[89:5688:1] |
Generators of the group modulo torsion |
j |
3764782295807636375/2202073090312368 |
j-invariant |
L |
9.6251781837707 |
L(r)(E,1)/r! |
Ω |
0.16161546565882 |
Real period |
R |
0.37222529046569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926l2 |
Quadratic twists by: -3 |