Atkin-Lehner |
2+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
19942c |
Isogeny class |
Conductor |
19942 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-13803212162927564 = -1 · 22 · 136 · 595 |
Discriminant |
Eigenvalues |
2+ -1 -1 -3 -2 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,19432,-5547524] |
[a1,a2,a3,a4,a6] |
Generators |
[291:4840:1] [5778:436484:1] |
Generators of the group modulo torsion |
j |
168105213359/2859697196 |
j-invariant |
L |
4.1034913155682 |
L(r)(E,1)/r! |
Ω |
0.19350447757571 |
Real period |
R |
1.0603091377987 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118b2 |
Quadratic twists by: 13 |