Atkin-Lehner |
2+ 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43602b |
Isogeny class |
Conductor |
43602 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-10693230834533832 = -1 · 23 · 34 · 136 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-51379,-6718187] |
[a1,a2,a3,a4,a6] |
Generators |
[23574215:-503703388:42875] |
Generators of the group modulo torsion |
j |
-3107661785857/2215383048 |
j-invariant |
L |
2.7031768393293 |
L(r)(E,1)/r! |
Ω |
0.1537297288804 |
Real period |
R |
8.7919781652218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
258d4 |
Quadratic twists by: 13 |