Atkin-Lehner |
3- 13- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64467p |
Isogeny class |
Conductor |
64467 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4667643581247153 = 36 · 13 · 198 · 29 |
Discriminant |
Eigenvalues |
1 3- 2 -4 4 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-42531,780704] |
[a1,a2,a3,a4,a6] |
Generators |
[690519035164596:7315736024275477:2553376813632] |
Generators of the group modulo torsion |
j |
11671285958751537/6402803266457 |
j-invariant |
L |
7.1790108237297 |
L(r)(E,1)/r! |
Ω |
0.37772378815052 |
Real period |
R |
19.005980159994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000255 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7163c3 |
Quadratic twists by: -3 |