Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966bk |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-904434855255414 = -1 · 2 · 33 · 74 · 178 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 1 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-120664,16187588] |
[a1,a2,a3,a4,a6] |
j |
-3352478521/15606 |
j-invariant |
L |
3.0032397795421 |
L(r)(E,1)/r! |
Ω |
0.50053997128385 |
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 |
84966i1 4998a1 |
Quadratic twists by: -7 17 |