Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4200x |
Isogeny class |
Conductor |
4200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3024000000 = 210 · 33 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-100808,12285888] |
[a1,a2,a3,a4,a6] |
Generators |
[184:24:1] |
Generators of the group modulo torsion |
j |
7080974546692/189 |
j-invariant |
L |
4.1702653482076 |
L(r)(E,1)/r! |
Ω |
1.0382105228542 |
Real period |
R |
0.66946366791823 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8400f3 33600c4 12600m3 168b4 |
Quadratic twists by: -4 8 -3 5 |