Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042dg |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
18969440512486464 = 26 · 36 · 76 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-67964,-1617456] |
[a1,a2,a3,a4,a6] |
Generators |
[-206:2014:1] |
Generators of the group modulo torsion |
j |
295102348042033/161237583936 |
j-invariant |
L |
9.6642078168159 |
L(r)(E,1)/r! |
Ω |
0.31575280927446 |
Real period |
R |
0.42509553240468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
126126dc2 858e2 |
Quadratic twists by: -3 -7 |