Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200cn |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1410615000000000 = -1 · 29 · 38 · 510 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5408,1811688] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:1350:1] |
Generators of the group modulo torsion |
j |
-2186875592/176326875 |
j-invariant |
L |
5.7149190753268 |
L(r)(E,1)/r! |
Ω |
0.39535334498682 |
Real period |
R |
0.90345116737153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032346 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103200by2 20640c4 |
Quadratic twists by: -4 5 |