Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168cj |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-489418876219392 = -1 · 212 · 32 · 710 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20153,-1524807] |
[a1,a2,a3,a4,a6] |
Generators |
[269:3528:1] |
Generators of the group modulo torsion |
j |
-221006185336000/119487030327 |
j-invariant |
L |
4.5913390971432 |
L(r)(E,1)/r! |
Ω |
0.19541222862824 |
Real period |
R |
1.1747829522017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000565 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168da2 31584l1 |
Quadratic twists by: -4 8 |