Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50784v |
Isogeny class |
Conductor |
50784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2.4538769220008E+22 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 -2 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10195064,-10005856296] |
[a1,a2,a3,a4,a6] |
Generators |
[3748842199894497590866338333785:-76703593192302260818918173771454:987104939056975726549131653] |
Generators of the group modulo torsion |
j |
1546167879660104/323754489243 |
j-invariant |
L |
4.2920750470357 |
L(r)(E,1)/r! |
Ω |
0.085737724801608 |
Real period |
R |
50.060519531559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50784p2 101568bb2 2208h2 |
Quadratic twists by: -4 8 -23 |