Atkin-Lehner |
2+ 5- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
65450j |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-6450752000000000 = -1 · 215 · 59 · 72 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 11+ 7 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1049,3864298] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:761:1] |
Generators of the group modulo torsion |
j |
65450827/3302785024 |
j-invariant |
L |
5.2946755387931 |
L(r)(E,1)/r! |
Ω |
0.33433392946479 |
Real period |
R |
1.97956110357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996513 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65450bj1 |
Quadratic twists by: 5 |