Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840x |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-7743540059421465600 = -1 · 210 · 326 · 52 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,394053,94127686] |
[a1,a2,a3,a4,a6] |
j |
9064839976946204/10373183592975 |
j-invariant |
L |
2.4962485009748 |
L(r)(E,1)/r! |
Ω |
0.15601553132241 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85680cd3 14280bs4 |
Quadratic twists by: -4 -3 |