Atkin-Lehner |
2+ 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
5200j |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
43264000 = 211 · 53 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 2 13- 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-235,-1350] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:6:1] |
Generators of the group modulo torsion |
j |
5606442/169 |
j-invariant |
L |
3.3606753040542 |
L(r)(E,1)/r! |
Ω |
1.2216125948202 |
Real period |
R |
1.3755077994054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2600l2 20800dn2 46800bt2 5200h2 |
Quadratic twists by: -4 8 -3 5 |