Atkin-Lehner |
2+ 3- 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
50310z |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
86620436282250 = 2 · 38 · 53 · 134 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 6 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-342732024,2442279584830] |
[a1,a2,a3,a4,a6] |
j |
6107454519404934373045538689/118820900250 |
j-invariant |
L |
2.5785736577564 |
L(r)(E,1)/r! |
Ω |
0.21488113813297 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770s2 |
Quadratic twists by: -3 |