Atkin-Lehner |
3- 11+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
68211b |
Isogeny class |
Conductor |
68211 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-66627276797367 = -1 · 310 · 11 · 13 · 534 |
Discriminant |
Eigenvalues |
1 3- 2 0 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2124,390379] |
[a1,a2,a3,a4,a6] |
Generators |
[-996:1078463:1728] |
Generators of the group modulo torsion |
j |
1453264622783/91395441423 |
j-invariant |
L |
9.1724654685916 |
L(r)(E,1)/r! |
Ω |
0.47163068538856 |
Real period |
R |
9.7242034423312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22737c3 |
Quadratic twists by: -3 |