Atkin-Lehner |
3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
5187d |
Isogeny class |
Conductor |
5187 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-102562551 = -1 · 33 · 7 · 134 · 19 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,18,-485] |
[a1,a2,a3,a4,a6] |
Generators |
[71:564:1] |
Generators of the group modulo torsion |
j |
697864103/102562551 |
j-invariant |
L |
4.8160275625259 |
L(r)(E,1)/r! |
Ω |
0.89231114315033 |
Real period |
R |
3.5981675969533 |
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 |
82992bw1 15561d1 129675o1 36309g1 |
Quadratic twists by: -4 -3 5 -7 |