Atkin-Lehner |
3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361w |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2419200 |
Modular degree for the optimal curve |
Δ |
-2.189069768388E+20 |
Discriminant |
Eigenvalues |
-2 3- 0 7+ 11- 5 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,622545,686283232] |
[a1,a2,a3,a4,a6] |
Generators |
[2200:112711:1] |
Generators of the group modulo torsion |
j |
3584000/29403 |
j-invariant |
L |
3.2223904184203 |
L(r)(E,1)/r! |
Ω |
0.12950710365369 |
Real period |
R |
3.1102448509886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999931 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17787c1 53361bz1 4851i1 |
Quadratic twists by: -3 -7 -11 |