Atkin-Lehner |
3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
43365l |
Isogeny class |
Conductor |
43365 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
6559519995 = 33 · 5 · 77 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14570641,21406293110] |
[a1,a2,a3,a4,a6] |
Generators |
[2206:-920:1] |
Generators of the group modulo torsion |
j |
2907846302518000247041/55755 |
j-invariant |
L |
4.3925136104619 |
L(r)(E,1)/r! |
Ω |
0.47340356611668 |
Real period |
R |
3.0928605280609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6195e3 |
Quadratic twists by: -7 |