Atkin-Lehner |
2- 7+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17612c |
Isogeny class |
Conductor |
17612 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-70279920089344 = -1 · 28 · 74 · 174 · 372 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 0 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9241,213950] |
[a1,a2,a3,a4,a6] |
Generators |
[403:8330:1] |
Generators of the group modulo torsion |
j |
340910719713072/274530937849 |
j-invariant |
L |
5.3947845124525 |
L(r)(E,1)/r! |
Ω |
0.39723344217085 |
Real period |
R |
1.1317410074561 |
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 |
70448r2 123284a2 |
Quadratic twists by: -4 -7 |