Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16900h |
Isogeny class |
Conductor |
16900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
660156250000 = 24 · 512 · 132 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 -3 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7258,-232363] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:25:1] [227:3125:1] |
Generators of the group modulo torsion |
j |
1000939264/15625 |
j-invariant |
L |
5.85292212693 |
L(r)(E,1)/r! |
Ω |
0.51772743174938 |
Real period |
R |
2.8262565241874 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67600bl2 3380e2 16900f2 |
Quadratic twists by: -4 5 13 |