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 |
2194936174437552 = 24 · 310 · 78 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-313556,-67464313] |
[a1,a2,a3,a4,a6] |
Generators |
[-317:207:1] |
Generators of the group modulo torsion |
j |
4676707755826542073/3010886384688 |
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 |
16926v3 |
Quadratic twists by: -3 |