Atkin-Lehner |
2- 3- 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778bw |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
654956196620544 = 28 · 38 · 74 · 132 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23396,-611449] |
[a1,a2,a3,a4,a6] |
Generators |
[351:-6035:1] |
Generators of the group modulo torsion |
j |
1942690512285433/898430996736 |
j-invariant |
L |
8.1202249351132 |
L(r)(E,1)/r! |
Ω |
0.40352241359194 |
Real period |
R |
0.6288548558264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16926v2 |
Quadratic twists by: -3 |