Atkin-Lehner |
3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14703n |
Isogeny class |
Conductor |
14703 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
2017707491201337 = 38 · 139 · 29 |
Discriminant |
Eigenvalues |
-1 3- 0 -2 0 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8709503,9892505544] |
[a1,a2,a3,a4,a6] |
Generators |
[1705:-767:1] |
Generators of the group modulo torsion |
j |
6889911821399125/190269 |
j-invariant |
L |
3.3189170577584 |
L(r)(E,1)/r! |
Ω |
0.34005837276268 |
Real period |
R |
2.4399612857603 |
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 |
44109z1 14703m1 |
Quadratic twists by: -3 13 |