Atkin-Lehner |
3- 7+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
17157g |
Isogeny class |
Conductor |
17157 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
23869281227214843 = 322 · 72 · 192 · 43 |
Discriminant |
Eigenvalues |
-1 3- 0 7+ -2 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-81358,-4959319] |
[a1,a2,a3,a4,a6] |
Generators |
[-235:1211:1] |
Generators of the group modulo torsion |
j |
59555906234827206625/23869281227214843 |
j-invariant |
L |
3.3125116760843 |
L(r)(E,1)/r! |
Ω |
0.29266167646651 |
Real period |
R |
0.51448045527244 |
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 |
51471d2 120099m2 |
Quadratic twists by: -3 -7 |