Atkin-Lehner |
2+ 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
42042br |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-67095556093566 = -1 · 2 · 314 · 73 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,4888,371900] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:460:1] |
Generators of the group modulo torsion |
j |
37666121079761/195613866162 |
j-invariant |
L |
4.7236696102436 |
L(r)(E,1)/r! |
Ω |
0.44537412161328 |
Real period |
R |
0.37878825439813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126126fd2 42042s2 |
Quadratic twists by: -3 -7 |