Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350cm |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
Δ |
-188659200000000 = -1 · 215 · 3 · 58 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,487,661031] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-868:1] |
Generators of the group modulo torsion |
j |
6655/98304 |
j-invariant |
L |
8.0473514595633 |
L(r)(E,1)/r! |
Ω |
0.44775746150696 |
Real period |
R |
0.19969520087157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43350bd1 43350dm2 |
Quadratic twists by: 5 17 |