Atkin-Lehner |
3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
16575h |
Isogeny class |
Conductor |
16575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-14224716796875 = -1 · 3 · 510 · 134 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4599,-135677] |
[a1,a2,a3,a4,a6] |
Generators |
[216314:2216173:2744] |
Generators of the group modulo torsion |
j |
688699320191/910381875 |
j-invariant |
L |
7.5885243507045 |
L(r)(E,1)/r! |
Ω |
0.37543332702799 |
Real period |
R |
10.106354183813 |
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 |
49725f3 3315b4 |
Quadratic twists by: -3 5 |