Atkin-Lehner |
2+ 5+ 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
16330c |
Isogeny class |
Conductor |
16330 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
14160 |
Modular degree for the optimal curve |
Δ |
65320 = 23 · 5 · 23 · 71 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 6 -6 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3129,67092] |
[a1,a2,a3,a4,a6] |
Generators |
[30:6:1] |
Generators of the group modulo torsion |
j |
3386420357276809/65320 |
j-invariant |
L |
4.6876390546047 |
L(r)(E,1)/r! |
Ω |
2.5065733214907 |
Real period |
R |
1.8701384134325 |
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 |
81650o1 |
Quadratic twists by: 5 |