Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
110880cr |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-2079000000 = -1 · 26 · 33 · 56 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,183,-1976] |
[a1,a2,a3,a4,a6] |
Generators |
[9:20:1] [23:120:1] |
Generators of the group modulo torsion |
j |
392223168/1203125 |
j-invariant |
L |
12.562915249811 |
L(r)(E,1)/r! |
Ω |
0.75203946417435 |
Real period |
R |
2.7841879416366 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000002449 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110880ck1 110880o1 |
Quadratic twists by: -4 -3 |