Atkin-Lehner |
3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15561l |
Isogeny class |
Conductor |
15561 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-237272410547991 = -1 · 37 · 7 · 138 · 19 |
Discriminant |
Eigenvalues |
1 3- -2 7- 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,13797,396760] |
[a1,a2,a3,a4,a6] |
Generators |
[2612:63539:64] |
Generators of the group modulo torsion |
j |
398412054846287/325476557679 |
j-invariant |
L |
4.8252387321118 |
L(r)(E,1)/r! |
Ω |
0.35952060226163 |
Real period |
R |
6.7106567770493 |
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 |
5187b4 108927ba3 |
Quadratic twists by: -3 -7 |