Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ec |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-4.18386197376E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2286079,-31092828255] |
[a1,a2,a3,a4,a6] |
Generators |
[1794305:215030816:125] |
Generators of the group modulo torsion |
j |
42841933504271/13565917968750 |
j-invariant |
L |
5.1528960933892 |
L(r)(E,1)/r! |
Ω |
0.044330285009332 |
Real period |
R |
7.2649207143506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040cf7 11760co8 6720cg8 |
Quadratic twists by: -4 8 -7 |