Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042dg |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-1237629717578342088 = -1 · 23 · 312 · 76 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,263276,-12680872] |
[a1,a2,a3,a4,a6] |
Generators |
[158:5654:1] |
Generators of the group modulo torsion |
j |
17154149157653327/10519679024712 |
j-invariant |
L |
9.6642078168159 |
L(r)(E,1)/r! |
Ω |
0.15787640463723 |
Real period |
R |
0.85019106480936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126dc3 858e4 |
Quadratic twists by: -3 -7 |