Atkin-Lehner |
2- 7+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17612c |
Isogeny class |
Conductor |
17612 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
16320 |
Modular degree for the optimal curve |
Δ |
986288273488 = 24 · 78 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 0 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2764,29073] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:255:1] |
Generators of the group modulo torsion |
j |
145954619670528/61643017093 |
j-invariant |
L |
5.3947845124525 |
L(r)(E,1)/r! |
Ω |
0.79446688434169 |
Real period |
R |
2.2634820149123 |
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 |
70448r1 123284a1 |
Quadratic twists by: -4 -7 |