Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
90816cx |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-3063483777024 = -1 · 214 · 33 · 115 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 3 11- 0 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1871,-77617] |
[a1,a2,a3,a4,a6] |
Generators |
[41:264:1] |
Generators of the group modulo torsion |
j |
44186845232/186980211 |
j-invariant |
L |
12.092608027695 |
L(r)(E,1)/r! |
Ω |
0.40469080342127 |
Real period |
R |
0.99603680329924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816g1 22704c1 |
Quadratic twists by: -4 8 |