Atkin-Lehner |
2+ 5+ 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
78850b |
Isogeny class |
Conductor |
78850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-2996300 = -1 · 22 · 52 · 192 · 83 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 -3 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10,80] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:10:1] |
Generators of the group modulo torsion |
j |
-5151505/119852 |
j-invariant |
L |
4.0904367399597 |
L(r)(E,1)/r! |
Ω |
2.1259017686972 |
Real period |
R |
0.48102372351381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78850p1 |
Quadratic twists by: 5 |