Atkin-Lehner |
2- 3- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778bw |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-45225672167068848 = -1 · 24 · 37 · 72 · 134 · 314 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,82444,-4675705] |
[a1,a2,a3,a4,a6] |
Generators |
[295:-6875:1] |
Generators of the group modulo torsion |
j |
85011618809681927/62037959076912 |
j-invariant |
L |
8.1202249351132 |
L(r)(E,1)/r! |
Ω |
0.20176120679597 |
Real period |
R |
1.2577097116528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926v4 |
Quadratic twists by: -3 |