Atkin-Lehner |
2- 3+ 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105270bj |
Isogeny class |
Conductor |
105270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-51285362279250 = -1 · 2 · 3 · 53 · 119 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- 0 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-28861,-1930411] |
[a1,a2,a3,a4,a6] |
Generators |
[11849918215396922:344276499584505041:13074203857112] |
Generators of the group modulo torsion |
j |
-1500730351849/28949250 |
j-invariant |
L |
9.0184543240477 |
L(r)(E,1)/r! |
Ω |
0.18293424367422 |
Real period |
R |
24.649442725738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9570a1 |
Quadratic twists by: -11 |