Atkin-Lehner |
2+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8450l |
Isogeny class |
Conductor |
8450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-637289625781250 = -1 · 2 · 58 · 138 |
Discriminant |
Eigenvalues |
2+ 3 5- 0 3 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-93742,11137166] |
[a1,a2,a3,a4,a6] |
j |
-48317985/338 |
j-invariant |
L |
3.0928279512682 |
L(r)(E,1)/r! |
Ω |
0.51547132521137 |
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 |
67600de1 76050fp1 8450u1 650m1 |
Quadratic twists by: -4 -3 5 13 |