Atkin-Lehner |
2+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64600a |
Isogeny class |
Conductor |
64600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
50880 |
Modular degree for the optimal curve |
Δ |
-50468750000 = -1 · 24 · 510 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 -2 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,417,-10162] |
[a1,a2,a3,a4,a6] |
Generators |
[49:361:1] |
Generators of the group modulo torsion |
j |
51200/323 |
j-invariant |
L |
4.3047027425321 |
L(r)(E,1)/r! |
Ω |
0.56269657742432 |
Real period |
R |
3.8250656885251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129200f1 64600ba1 |
Quadratic twists by: -4 5 |