Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400ew |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
28740096000 = 212 · 36 · 53 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-848,-4608] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:54:1] |
Generators of the group modulo torsion |
j |
131872229/56133 |
j-invariant |
L |
4.1927022946576 |
L(r)(E,1)/r! |
Ω |
0.91912763798342 |
Real period |
R |
1.1404026250132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024671 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5775z1 92400id1 |
Quadratic twists by: -4 5 |