Atkin-Lehner |
2- 3+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17340c |
Isogeny class |
Conductor |
17340 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
80360725720320 = 28 · 32 · 5 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -3 4 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13101,387945] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:867:1] |
Generators of the group modulo torsion |
j |
139264/45 |
j-invariant |
L |
2.781917807802 |
L(r)(E,1)/r! |
Ω |
0.56256073479675 |
Real period |
R |
0.82418295356947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69360dk1 52020bl1 86700bt1 17340r1 |
Quadratic twists by: -4 -3 5 17 |