Atkin-Lehner |
2- 3- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778bf |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4.5010458661104E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11015195,-14064913389] |
[a1,a2,a3,a4,a6] |
Generators |
[-123084:179507:64] |
Generators of the group modulo torsion |
j |
202755533795488568427625/61742741647604472 |
j-invariant |
L |
9.0149571949757 |
L(r)(E,1)/r! |
Ω |
0.08287231042874 |
Real period |
R |
9.0651078632495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926c2 |
Quadratic twists by: -3 |