Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966cw |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.7737350764867E+19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-71924014,-234808740685] |
[a1,a2,a3,a4,a6] |
Generators |
[77728717:-18612537219:1331] |
Generators of the group modulo torsion |
j |
14489843500598257/6246072 |
j-invariant |
L |
8.206807170705 |
L(r)(E,1)/r! |
Ω |
0.051841921087378 |
Real period |
R |
13.192038083623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003595 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12138ba4 4998bl3 |
Quadratic twists by: -7 17 |