Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65600bk |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
537920000000000 = 215 · 510 · 412 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 -2 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-668033,-209932063] |
[a1,a2,a3,a4,a6] |
Generators |
[1003:11316:1] [162266:23090175:8] |
Generators of the group modulo torsion |
j |
64394407431368/1050625 |
j-invariant |
L |
12.444472695281 |
L(r)(E,1)/r! |
Ω |
0.16699383812725 |
Real period |
R |
37.260275094127 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600bo2 32800m2 13120bc2 |
Quadratic twists by: -4 8 5 |