Atkin-Lehner |
2- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
11620a |
Isogeny class |
Conductor |
11620 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-964460000000 = -1 · 28 · 57 · 7 · 832 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -1 1 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2941,76495] |
[a1,a2,a3,a4,a6] |
j |
-10993006403584/3767421875 |
j-invariant |
L |
1.6615294744218 |
L(r)(E,1)/r! |
Ω |
0.83076473721089 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46480r1 104580r1 58100k1 81340o1 |
Quadratic twists by: -4 -3 5 -7 |