Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966n |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1945944 |
Modular degree for the optimal curve |
Δ |
-1.316313935244E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-606302,251718132] |
[a1,a2,a3,a4,a6] |
j |
-301935091801/161243136 |
j-invariant |
L |
1.8746810962458 |
L(r)(E,1)/r! |
Ω |
0.20829790404585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966bn1 84966cm1 |
Quadratic twists by: -7 17 |