Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200bt |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
33484491980800 = 222 · 52 · 75 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 3 -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120848,-16207852] |
[a1,a2,a3,a4,a6] |
Generators |
[50170:40448:125] |
Generators of the group modulo torsion |
j |
1906100306841145/326996992 |
j-invariant |
L |
6.6582301717828 |
L(r)(E,1)/r! |
Ω |
0.25606124875343 |
Real period |
R |
6.5006226090637 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999646 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650y1 53200eb2 |
Quadratic twists by: -4 5 |