Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966da |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-8.3169544473718E+30 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4955160181,-35033009165575] |
[a1,a2,a3,a4,a6] |
Generators |
[822908467:299968267234:12167] |
Generators of the group modulo torsion |
j |
4738217997934888496063/2928751705237796928 |
j-invariant |
L |
5.5963667823755 |
L(r)(E,1)/r! |
Ω |
0.013442544406826 |
Real period |
R |
17.346563418107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12138w4 4998bm4 |
Quadratic twists by: -7 17 |