Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840ce |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11421577252915200 = 211 · 38 · 52 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68907,4693894] |
[a1,a2,a3,a4,a6] |
Generators |
[218:180:1] |
Generators of the group modulo torsion |
j |
24235738558418/7650126225 |
j-invariant |
L |
5.5144475492791 |
L(r)(E,1)/r! |
Ω |
0.37278146810972 |
Real period |
R |
3.6981770963809 |
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 |
85680ch2 14280l2 |
Quadratic twists by: -4 -3 |