Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040bk |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
798552986945126400 = 216 · 310 · 52 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-326136,57473136] |
[a1,a2,a3,a4,a6] |
Generators |
[188:1664:1] |
Generators of the group modulo torsion |
j |
936615448738871929/194959225328400 |
j-invariant |
L |
4.5706583633581 |
L(r)(E,1)/r! |
Ω |
0.26766328000767 |
Real period |
R |
2.134518770772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999476 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6630j2 |
Quadratic twists by: -4 |