Atkin-Lehner |
2- 5+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
111650n |
Isogeny class |
Conductor |
111650 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-6740087200 = -1 · 25 · 52 · 74 · 112 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 11+ 2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-343,4617] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-53:1] [-4:79:1] |
Generators of the group modulo torsion |
j |
-178543973785/269603488 |
j-invariant |
L |
11.780547856625 |
L(r)(E,1)/r! |
Ω |
1.1967235546701 |
Real period |
R |
0.49220004952622 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111650i1 |
Quadratic twists by: 5 |