Atkin-Lehner |
2+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42598a |
Isogeny class |
Conductor |
42598 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18516241935591616 = 26 · 193 · 596 |
Discriminant |
Eigenvalues |
2+ 0 2 0 -2 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-87781,-7550763] |
[a1,a2,a3,a4,a6] |
Generators |
[-72898:-379651:343] |
Generators of the group modulo torsion |
j |
10906044471241947/2699554153024 |
j-invariant |
L |
3.952789888361 |
L(r)(E,1)/r! |
Ω |
0.28238716638168 |
Real period |
R |
6.99888372939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42598e2 |
Quadratic twists by: -19 |