Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
129960by |
Isogeny class |
Conductor |
129960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-22800962160 = -1 · 24 · 37 · 5 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -2 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1083,15523] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:171:1] |
Generators of the group modulo torsion |
j |
-92416/15 |
j-invariant |
L |
4.7008987883802 |
L(r)(E,1)/r! |
Ω |
1.1600125741931 |
Real period |
R |
0.1688522912968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000090038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43320m1 129960v1 |
Quadratic twists by: -3 -19 |