Atkin-Lehner |
3- 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
17355i |
Isogeny class |
Conductor |
17355 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
343160415 = 33 · 5 · 134 · 89 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-64084,-6249409] |
[a1,a2,a3,a4,a6] |
Generators |
[23764:282653:64] |
Generators of the group modulo torsion |
j |
29104678444699468729/343160415 |
j-invariant |
L |
5.1529924046703 |
L(r)(E,1)/r! |
Ω |
0.30006335712898 |
Real period |
R |
5.7243381908567 |
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 |
52065r4 86775a4 |
Quadratic twists by: -3 5 |