Atkin-Lehner |
2- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
21472g |
Isogeny class |
Conductor |
21472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6862220333056 = -1 · 212 · 112 · 614 |
Discriminant |
Eigenvalues |
2- 0 -2 4 11- -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4316,-166720] |
[a1,a2,a3,a4,a6] |
j |
-2170741315392/1675346761 |
j-invariant |
L |
0.57002395676318 |
L(r)(E,1)/r! |
Ω |
0.2850119783816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21472d2 42944o1 |
Quadratic twists by: -4 8 |