Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966dm |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
413952 |
Modular degree for the optimal curve |
Δ |
-834889691452614 = -1 · 2 · 3 · 78 · 176 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -5 0 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14456,1541574] |
[a1,a2,a3,a4,a6] |
Generators |
[38790:1000197:1000] |
Generators of the group modulo torsion |
j |
-2401/6 |
j-invariant |
L |
11.472616115659 |
L(r)(E,1)/r! |
Ω |
0.44335522637573 |
Real period |
R |
4.3128005986191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966ct1 294a1 |
Quadratic twists by: -7 17 |