Atkin-Lehner |
2+ 7+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116242a |
Isogeny class |
Conductor |
116242 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-865770416 = -1 · 24 · 73 · 193 · 23 |
Discriminant |
Eigenvalues |
2+ 1 -3 7+ 4 -5 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,125,-1298] |
[a1,a2,a3,a4,a6] |
Generators |
[11:32:1] |
Generators of the group modulo torsion |
j |
31855013/126224 |
j-invariant |
L |
2.679147759936 |
L(r)(E,1)/r! |
Ω |
0.80138448493111 |
Real period |
R |
0.83578724990936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116242p1 |
Quadratic twists by: -19 |