Atkin-Lehner |
2+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
90304a |
Isogeny class |
Conductor |
90304 |
Conductor |
∏ cp |
1 |
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 |
[1282:16241:8] |
Generators of the group modulo torsion |
j |
168196608/9720379 |
j-invariant |
L |
5.0477023201935 |
L(r)(E,1)/r! |
Ω |
0.77624452047245 |
Real period |
R |
6.5027220001424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988654 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90304d1 45152d1 |
Quadratic twists by: -4 8 |