Atkin-Lehner |
2+ 3- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
102366h |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.2056085024225E+33 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11- 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-321727544892,-70259132344101552] |
[a1,a2,a3,a4,a6] |
Generators |
[5449596301718245945469067140843921128027637065702236271665282:5667283381488595055193019520149816737357813559402582598483128755:4014065886398082520564590541024971705650353112847935704] |
Generators of the group modulo torsion |
j |
-2851706381404169233907849265625/933517927940580307894272 |
j-invariant |
L |
4.6952712210548 |
L(r)(E,1)/r! |
Ω |
0.0031694869611201 |
Real period |
R |
92.587366635582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34122v2 9306l2 |
Quadratic twists by: -3 -11 |