Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880ec |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
3975000000 = 26 · 3 · 58 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-420,-1482] |
[a1,a2,a3,a4,a6] |
Generators |
[687:1900:27] |
Generators of the group modulo torsion |
j |
128329125184/62109375 |
j-invariant |
L |
7.4449560087094 |
L(r)(E,1)/r! |
Ω |
1.1067586259758 |
Real period |
R |
3.3634054589541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50880cw1 25440b3 |
Quadratic twists by: -4 8 |