Atkin-Lehner |
2+ 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552h |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16321536 |
Modular degree for the optimal curve |
Δ |
-1.0826986854288E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 3 -2 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4622911,-49917573183] |
[a1,a2,a3,a4,a6] |
Generators |
[44153236491369057243166245830845:2411161065940647833729939848364032:9904416258154018296108530125] |
Generators of the group modulo torsion |
j |
41680247940186217487/4130167714800992256 |
j-invariant |
L |
7.5826268209854 |
L(r)(E,1)/r! |
Ω |
0.04140398272671 |
Real period |
R |
45.784404794069 |
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 |
111552dt1 3486o1 |
Quadratic twists by: -4 8 |