Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168dr |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
323205894144 = 212 · 36 · 72 · 472 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3449,-74169] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:48:1] |
Generators of the group modulo torsion |
j |
1108075264192/78907689 |
j-invariant |
L |
6.1812433542377 |
L(r)(E,1)/r! |
Ω |
0.62576487420181 |
Real period |
R |
1.6463168006243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000653 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63168by2 31584r1 |
Quadratic twists by: -4 8 |