Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966dg |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-53063801874284544 = -1 · 217 · 35 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -5 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,88836,-4318371] |
[a1,a2,a3,a4,a6] |
Generators |
[237:-5607:1] |
Generators of the group modulo torsion |
j |
2280364702703/1560674304 |
j-invariant |
L |
10.032526062535 |
L(r)(E,1)/r! |
Ω |
0.20089362765114 |
Real period |
R |
0.7344043196546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138y1 84966ee1 |
Quadratic twists by: -7 17 |