Atkin-Lehner |
3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5187h |
Isogeny class |
Conductor |
5187 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-6862401 = -1 · 34 · 73 · 13 · 19 |
Discriminant |
Eigenvalues |
-1 3- 1 7- 5 13+ -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20,129] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:13:1] |
Generators of the group modulo torsion |
j |
-887503681/6862401 |
j-invariant |
L |
3.3310186588289 |
L(r)(E,1)/r! |
Ω |
2.0291285856309 |
Real period |
R |
0.13680004815932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82992bj1 15561i1 129675f1 36309m1 |
Quadratic twists by: -4 -3 5 -7 |