Atkin-Lehner |
3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5187b |
Isogeny class |
Conductor |
5187 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4546939761 = 32 · 72 · 134 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 0 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-462,-2214] |
[a1,a2,a3,a4,a6] |
j |
10907077259233/4546939761 |
j-invariant |
L |
1.0685293125928 |
L(r)(E,1)/r! |
Ω |
1.0685293125928 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
82992cg2 15561l2 129675w2 36309ba2 |
Quadratic twists by: -4 -3 5 -7 |