Atkin-Lehner |
2+ 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
90304d |
Isogeny class |
Conductor |
90304 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
28032 |
Modular degree for the optimal curve |
Δ |
-622104256 = -1 · 26 · 17 · 833 |
Discriminant |
Eigenvalues |
2+ 0 -3 -2 -2 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,46,1194] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-83:1] [105668:4293673:64] |
Generators of the group modulo torsion |
j |
168196608/9720379 |
j-invariant |
L |
8.3965845841817 |
L(r)(E,1)/r! |
Ω |
1.2365932433888 |
Real period |
R |
2.2633647263502 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90304a1 45152a1 |
Quadratic twists by: -4 8 |