Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472cr |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
30197292023808 = 214 · 310 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-665553,-209210193] |
[a1,a2,a3,a4,a6] |
j |
1989996724085074000/1843096437 |
j-invariant |
L |
1.6714903094505 |
L(r)(E,1)/r! |
Ω |
0.16714903094505 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17472j2 4368a2 52416fa2 122304ev2 |
Quadratic twists by: -4 8 -3 -7 |