Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
50460h |
Isogeny class |
Conductor |
50460 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-20699851570800 = -1 · 24 · 3 · 52 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 -5 -5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25510,-1574975] |
[a1,a2,a3,a4,a6] |
Generators |
[300:-4205:1] |
Generators of the group modulo torsion |
j |
-192914176/2175 |
j-invariant |
L |
2.2446292353982 |
L(r)(E,1)/r! |
Ω |
0.18875515201584 |
Real period |
R |
0.49548961785725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1740g1 |
Quadratic twists by: 29 |