Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80360l |
Isogeny class |
Conductor |
80360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
771777440000 = 28 · 54 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2303,4802] |
[a1,a2,a3,a4,a6] |
Generators |
[1:50:1] |
Generators of the group modulo torsion |
j |
44851536/25625 |
j-invariant |
L |
4.3161605924198 |
L(r)(E,1)/r! |
Ω |
0.76900301643578 |
Real period |
R |
1.403167640737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982679 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1640g1 |
Quadratic twists by: -7 |