Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42588c |
Isogeny class |
Conductor |
42588 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
759148754771586816 = 28 · 39 · 74 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-241839,-18388890] |
[a1,a2,a3,a4,a6] |
Generators |
[1222:38870:1] |
Generators of the group modulo torsion |
j |
64314864/31213 |
j-invariant |
L |
7.3882193539091 |
L(r)(E,1)/r! |
Ω |
0.22604207024091 |
Real period |
R |
4.085643961116 |
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 |
42588d2 3276b2 |
Quadratic twists by: -3 13 |