Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850cu |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
-8934882567187500 = -1 · 22 · 39 · 58 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 5 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,51424,-727702] |
[a1,a2,a3,a4,a6] |
Generators |
[291:6091:1] |
Generators of the group modulo torsion |
j |
16035452615/9526572 |
j-invariant |
L |
6.8514637206544 |
L(r)(E,1)/r! |
Ω |
0.24054708067512 |
Real period |
R |
0.79118996634057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001165 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
80850dq1 80850bg1 |
Quadratic twists by: 5 -7 |