Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
90160bu |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-54648468743680000 = -1 · 212 · 54 · 79 · 232 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,29384,-11088720] |
[a1,a2,a3,a4,a6] |
Generators |
[300330:14749686:125] |
Generators of the group modulo torsion |
j |
16974593/330625 |
j-invariant |
L |
10.251192699936 |
L(r)(E,1)/r! |
Ω |
0.17207608377197 |
Real period |
R |
7.4467006655123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5635d1 90160ct1 |
Quadratic twists by: -4 -7 |