Atkin-Lehner |
2+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
59150u |
Isogeny class |
Conductor |
59150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.2741140301357E+21 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 0 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2187758,1181842416] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:31728:1] [443:47084:1] |
Generators of the group modulo torsion |
j |
122837590611/135150652 |
j-invariant |
L |
7.2535067801117 |
L(r)(E,1)/r! |
Ω |
0.10165348877559 |
Real period |
R |
17.838804323084 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59150cf2 4550y2 |
Quadratic twists by: 5 13 |