Atkin-Lehner |
2+ 3- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
112176h |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4515840 |
Modular degree for the optimal curve |
Δ |
1.4775347724569E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4173159,-2710477658] |
[a1,a2,a3,a4,a6] |
Generators |
[-70335358:-1351534086:79507] |
Generators of the group modulo torsion |
j |
43067634060817694032/7917174492331617 |
j-invariant |
L |
9.6041017966295 |
L(r)(E,1)/r! |
Ω |
0.10696822709558 |
Real period |
R |
7.482051808058 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56088d1 37392c1 |
Quadratic twists by: -4 -3 |