Atkin-Lehner |
2+ 3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310s |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
63082702800 = 24 · 38 · 52 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-249624,48066480] |
[a1,a2,a3,a4,a6] |
Generators |
[291:-213:1] |
Generators of the group modulo torsion |
j |
2359696653948924289/86533200 |
j-invariant |
L |
3.9696222426768 |
L(r)(E,1)/r! |
Ω |
0.81683471864563 |
Real period |
R |
0.60747023725438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770bb2 |
Quadratic twists by: -3 |