Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966bn |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
277992 |
Modular degree for the optimal curve |
Δ |
-111884838395904 = -1 · 213 · 39 · 74 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12374,-735640] |
[a1,a2,a3,a4,a6] |
j |
-301935091801/161243136 |
j-invariant |
L |
1.9872974517583 |
L(r)(E,1)/r! |
Ω |
0.22081082926412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966n1 84966g1 |
Quadratic twists by: -7 17 |