Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168cp |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2298353025024 = 218 · 34 · 72 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4289,81249] |
[a1,a2,a3,a4,a6] |
Generators |
[71:360:1] |
Generators of the group modulo torsion |
j |
33293019313/8767521 |
j-invariant |
L |
4.0272583312304 |
L(r)(E,1)/r! |
Ω |
0.76595822086532 |
Real period |
R |
2.6289020873316 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999869 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63168bf2 15792bf2 |
Quadratic twists by: -4 8 |