Atkin-Lehner |
2+ 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042bb |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
483970348120843584 = 26 · 33 · 74 · 11 · 139 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 11- 13- -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-578520,-166073498] |
[a1,a2,a3,a4,a6] |
Generators |
[977:-14685:1] [-3698:14817:8] |
Generators of the group modulo torsion |
j |
8918372451794425753/201570324081984 |
j-invariant |
L |
7.0547997626091 |
L(r)(E,1)/r! |
Ω |
0.17334751075965 |
Real period |
R |
0.25121875988832 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126ek2 42042u2 |
Quadratic twists by: -3 -7 |