Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472bo |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-19944357888 = -1 · 214 · 3 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -6 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-785,-11121] |
[a1,a2,a3,a4,a6] |
j |
-3269383504/1217307 |
j-invariant |
L |
1.7708217262646 |
L(r)(E,1)/r! |
Ω |
0.44270543156615 |
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 |
17472ca2 2184e2 52416dn2 122304bo2 |
Quadratic twists by: -4 8 -3 -7 |