Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360bk |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
236273766400 = 212 · 52 · 74 · 312 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1627,9546] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:186:1] |
Generators of the group modulo torsion |
j |
116285729841/57684025 |
j-invariant |
L |
5.5785773845806 |
L(r)(E,1)/r! |
Ω |
0.87801757570906 |
Real period |
R |
1.5884013996176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1085e2 69440cx2 86800bc2 121520bh2 |
Quadratic twists by: -4 8 5 -7 |