Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472bx |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-331383177216 = -1 · 217 · 34 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1631,-11711] |
[a1,a2,a3,a4,a6] |
Generators |
[16:135:1] |
Generators of the group modulo torsion |
j |
3658553134/2528253 |
j-invariant |
L |
3.0155334190339 |
L(r)(E,1)/r! |
Ω |
0.54454761734551 |
Real period |
R |
2.7688427264944 |
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 |
17472bk4 4368f4 52416fi3 122304hg3 |
Quadratic twists by: -4 8 -3 -7 |