Atkin-Lehner |
3- 5+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
50325t |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
49082424638671875 = 3 · 510 · 112 · 614 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-30251938,64041399617] |
[a1,a2,a3,a4,a6] |
Generators |
[6978907:-3258965:2197] |
Generators of the group modulo torsion |
j |
195958132520634056214361/3141275176875 |
j-invariant |
L |
5.4379155418127 |
L(r)(E,1)/r! |
Ω |
0.25466662161598 |
Real period |
R |
5.3382688192092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10065d4 |
Quadratic twists by: 5 |