Atkin-Lehner |
3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14703m |
Isogeny class |
Conductor |
14703 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
418020993 = 38 · 133 · 29 |
Discriminant |
Eigenvalues |
1 3- 0 2 0 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-51536,4498769] |
[a1,a2,a3,a4,a6] |
Generators |
[147:250:1] |
Generators of the group modulo torsion |
j |
6889911821399125/190269 |
j-invariant |
L |
7.1084128092102 |
L(r)(E,1)/r! |
Ω |
1.2260978996467 |
Real period |
R |
1.4493974769997 |
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 |
44109bb1 14703n1 |
Quadratic twists by: -3 13 |