Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17248q |
Isogeny class |
Conductor |
17248 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
27499853269504 = 29 · 79 · 113 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 11- -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4869571,4136034630] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:67914:1] |
Generators of the group modulo torsion |
j |
618078302648568/1331 |
j-invariant |
L |
3.7632991130468 |
L(r)(E,1)/r! |
Ω |
0.43452712139784 |
Real period |
R |
2.8868923846383 |
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 |
17248e2 34496cg2 17248p2 |
Quadratic twists by: -4 8 -7 |