Atkin-Lehner |
2- 3+ 11+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682z |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
-20619769712256 = -1 · 27 · 39 · 114 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -3 0 11+ 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13989134,20142332317] |
[a1,a2,a3,a4,a6] |
Generators |
[2161:-973:1] |
Generators of the group modulo torsion |
j |
-15381719285480920056411/1047592832 |
j-invariant |
L |
7.0673416638004 |
L(r)(E,1)/r! |
Ω |
0.37667631793009 |
Real period |
R |
0.67008475660827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682g1 |
Quadratic twists by: -3 |