Atkin-Lehner |
2+ 3+ 5- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
78390c |
Isogeny class |
Conductor |
78390 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-158190416923780800 = -1 · 26 · 33 · 52 · 138 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-93999,-22094995] |
[a1,a2,a3,a4,a6] |
Generators |
[2851:149827:1] |
Generators of the group modulo torsion |
j |
-3401983846138525803/5858904330510400 |
j-invariant |
L |
4.7069620031915 |
L(r)(E,1)/r! |
Ω |
0.12880086562037 |
Real period |
R |
4.568061305026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78390be2 |
Quadratic twists by: -3 |