Atkin-Lehner |
3+ 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
43575g |
Isogeny class |
Conductor |
43575 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5838369140625 = 3 · 510 · 74 · 83 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33838,2378906] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:2242:1] |
Generators of the group modulo torsion |
j |
274232262365209/373655625 |
j-invariant |
L |
2.4786341371407 |
L(r)(E,1)/r! |
Ω |
0.75666382320696 |
Real period |
R |
0.81893506109351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8715h3 |
Quadratic twists by: 5 |