Atkin-Lehner |
2- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
30016bx |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
516586405888 = 216 · 76 · 67 |
Discriminant |
Eigenvalues |
2- 0 0 7- -4 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5260,-142704] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:63:1] [-38:48:1] |
Generators of the group modulo torsion |
j |
245584534500/7882483 |
j-invariant |
L |
8.0655602958756 |
L(r)(E,1)/r! |
Ω |
0.56170335552654 |
Real period |
R |
2.3931850078634 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30016a2 7504h2 |
Quadratic twists by: -4 8 |