Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
103200a |
Isogeny class |
Conductor |
103200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-269584200000000 = -1 · 29 · 36 · 58 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3008,793512] |
[a1,a2,a3,a4,a6] |
Generators |
[297:5100:1] |
Generators of the group modulo torsion |
j |
-376367048/33698025 |
j-invariant |
L |
3.8671155138097 |
L(r)(E,1)/r! |
Ω |
0.45325853616074 |
Real period |
R |
4.2659047868616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999886781 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103200cp2 20640x2 |
Quadratic twists by: -4 5 |