Atkin-Lehner |
2- 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11130bf |
Isogeny class |
Conductor |
11130 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-1615541760000 = -1 · 212 · 35 · 54 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 -6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3465,99225] |
[a1,a2,a3,a4,a6] |
Generators |
[90:-765:1] |
Generators of the group modulo torsion |
j |
-4600883775494161/1615541760000 |
j-invariant |
L |
8.434979928127 |
L(r)(E,1)/r! |
Ω |
0.79520203616848 |
Real period |
R |
0.088394516366865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89040bj1 33390o1 55650g1 77910bs1 |
Quadratic twists by: -4 -3 5 -7 |