Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966dm |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
294 |
Product of Tamagawa factors cp |
Δ |
-3.8952613444413E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -5 0 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1996996,-1127118448] |
[a1,a2,a3,a4,a6] |
Generators |
[2846:-128872:1] |
Generators of the group modulo torsion |
j |
-6329617441/279936 |
j-invariant |
L |
11.472616115659 |
L(r)(E,1)/r! |
Ω |
0.063336460910819 |
Real period |
R |
0.61611437123131 |
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 |
84966ct2 294a2 |
Quadratic twists by: -7 17 |