Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200cn |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
123840000000 = 212 · 32 · 57 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-258033,50364063] |
[a1,a2,a3,a4,a6] |
Generators |
[357:1968:1] |
Generators of the group modulo torsion |
j |
29687332481344/1935 |
j-invariant |
L |
5.7149190753268 |
L(r)(E,1)/r! |
Ω |
0.79070668997363 |
Real period |
R |
3.6138046694861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032346 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103200by4 20640c3 |
Quadratic twists by: -4 5 |