Atkin-Lehner |
2- 7+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
17612b |
Isogeny class |
Conductor |
17612 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-19161856 = -1 · 28 · 7 · 172 · 37 |
Discriminant |
Eigenvalues |
2- -2 1 7+ -1 -5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,35,207] |
[a1,a2,a3,a4,a6] |
Generators |
[2:17:1] |
Generators of the group modulo torsion |
j |
17997824/74851 |
j-invariant |
L |
2.7802626709346 |
L(r)(E,1)/r! |
Ω |
1.5507369173739 |
Real period |
R |
0.89643273458753 |
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 |
70448p1 123284e1 |
Quadratic twists by: -4 -7 |