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 |
-5.7365563370766E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-254081,1153486881] |
[a1,a2,a3,a4,a6] |
Generators |
[565:34496:1] |
Generators of the group modulo torsion |
j |
-58818484369/18600435000 |
j-invariant |
L |
5.1528960933892 |
L(r)(E,1)/r! |
Ω |
0.132990855028 |
Real period |
R |
2.4216402381169 |
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 |
47040cf4 11760co5 6720cg5 |
Quadratic twists by: -4 8 -7 |