Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168ct |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-339591168 = -1 · 214 · 32 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -2 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49,913] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:27:1] [-3:32:1] |
Generators of the group modulo torsion |
j |
-810448/20727 |
j-invariant |
L |
8.2713149779981 |
L(r)(E,1)/r! |
Ω |
1.431005026155 |
Real period |
R |
1.4450185056716 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999822 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168y1 15792m1 |
Quadratic twists by: -4 8 |