Atkin-Lehner |
2+ 3+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
111552d |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-29944511987712 = -1 · 234 · 3 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3137,-270783] |
[a1,a2,a3,a4,a6] |
Generators |
[4379972728254605:108315596288720896:7083419040125] |
Generators of the group modulo torsion |
j |
-13027640977/114229248 |
j-invariant |
L |
5.9751790442804 |
L(r)(E,1)/r! |
Ω |
0.27960815029406 |
Real period |
R |
21.369831605839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999278286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111552dp1 3486m1 |
Quadratic twists by: -4 8 |