Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
5208n |
Isogeny class |
Conductor |
5208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
499968 = 28 · 32 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68,192] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:18:1] |
Generators of the group modulo torsion |
j |
137842000/1953 |
j-invariant |
L |
4.549501342312 |
L(r)(E,1)/r! |
Ω |
2.9502528518933 |
Real period |
R |
0.77103583501197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10416a1 41664y1 15624o1 36456r1 |
Quadratic twists by: -4 8 -3 -7 |