Atkin-Lehner |
2+ 3- 13- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128934y |
Isogeny class |
Conductor |
128934 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1.5673201355117E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 0 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1573767,783805815] |
[a1,a2,a3,a4,a6] |
Generators |
[-297815:13411595:343] |
Generators of the group modulo torsion |
j |
-591313293127508640625/21499590336237858 |
j-invariant |
L |
5.0006314072044 |
L(r)(E,1)/r! |
Ω |
0.21939113696437 |
Real period |
R |
11.396612151191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024839 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
42978x3 |
Quadratic twists by: -3 |