Atkin-Lehner |
2+ 3+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
14016c |
Isogeny class |
Conductor |
14016 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-16370688 = -1 · 210 · 3 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 -2 -2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93,429] |
[a1,a2,a3,a4,a6] |
Generators |
[5:8:1] |
Generators of the group modulo torsion |
j |
-87808000/15987 |
j-invariant |
L |
2.8703984013126 |
L(r)(E,1)/r! |
Ω |
2.1140023847539 |
Real period |
R |
1.3578028208548 |
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 |
14016bs1 1752i1 42048d1 |
Quadratic twists by: -4 8 -3 |