Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
8736p |
Isogeny class |
Conductor |
8736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
271724544 = 212 · 36 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-449,3729] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:81:1] |
Generators of the group modulo torsion |
j |
2449456192/66339 |
j-invariant |
L |
3.1252842839935 |
L(r)(E,1)/r! |
Ω |
1.7350951807011 |
Real period |
R |
1.8012177768431 |
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 |
8736ba2 17472cl1 26208l2 61152bs2 |
Quadratic twists by: -4 8 -3 -7 |