Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
43320a |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-17778528000 = -1 · 28 · 34 · 53 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,564,3636] |
[a1,a2,a3,a4,a6] |
Generators |
[13:114:1] |
Generators of the group modulo torsion |
j |
11279504/10125 |
j-invariant |
L |
3.3065413291764 |
L(r)(E,1)/r! |
Ω |
0.80137402256598 |
Real period |
R |
2.0630449927627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640q1 129960cp1 43320bb1 |
Quadratic twists by: -4 -3 -19 |