Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
111720ba |
Isogeny class |
Conductor |
111720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-368024895840000 = -1 · 28 · 3 · 54 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4916,934116] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:1000:1] |
Generators of the group modulo torsion |
j |
-1272112/35625 |
j-invariant |
L |
4.947121290062 |
L(r)(E,1)/r! |
Ω |
0.44882162926275 |
Real period |
R |
2.7556165783598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001557 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111720bu1 |
Quadratic twists by: -7 |