Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168br |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
170248372224 = 219 · 3 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -2 0 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100289,-12257889] |
[a1,a2,a3,a4,a6] |
j |
425547480243313/649446 |
j-invariant |
L |
2.1462281912777 |
L(r)(E,1)/r! |
Ω |
0.26827852403315 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168bw2 1974g2 |
Quadratic twists by: -4 8 |