Atkin-Lehner |
2- 3- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778bs |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
1792 |
Product of Tamagawa factors cp |
Δ |
-1.3763693994901E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1197220,1711955103] |
[a1,a2,a3,a4,a6] |
Generators |
[-571:29301:1] |
Generators of the group modulo torsion |
j |
260326520529752234375/1888023867613298688 |
j-invariant |
L |
10.629350903984 |
L(r)(E,1)/r! |
Ω |
0.11070019482727 |
Real period |
R |
0.2143287076718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926m2 |
Quadratic twists by: -3 |