Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168bs |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
5131216775430144 = 214 · 310 · 74 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66449,5598351] |
[a1,a2,a3,a4,a6] |
Generators |
[-239:2808:1] [-230:2961:1] |
Generators of the group modulo torsion |
j |
1980503696308048/313184617641 |
j-invariant |
L |
10.853863303285 |
L(r)(E,1)/r! |
Ω |
0.41231848756485 |
Real period |
R |
1.3161989615592 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999945 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63168bx2 7896j2 |
Quadratic twists by: -4 8 |