Atkin-Lehner |
2- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
8450v |
Isogeny class |
Conductor |
8450 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
33696 |
Modular degree for the optimal curve |
Δ |
-1325562421625000 = -1 · 23 · 56 · 139 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 0 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12587,-1664183] |
[a1,a2,a3,a4,a6] |
Generators |
[30480:483479:125] |
Generators of the group modulo torsion |
j |
1331/8 |
j-invariant |
L |
6.8158570733156 |
L(r)(E,1)/r! |
Ω |
0.24132868256423 |
Real period |
R |
4.7071743267964 |
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 |
67600cq1 76050cd1 338d1 8450h1 |
Quadratic twists by: -4 -3 5 13 |