Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850dd |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
163448785095750 = 2 · 38 · 53 · 77 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13746,78838] |
[a1,a2,a3,a4,a6] |
Generators |
[242:-3429:1] |
Generators of the group modulo torsion |
j |
19530306557/11114334 |
j-invariant |
L |
5.8758772103141 |
L(r)(E,1)/r! |
Ω |
0.49317076220213 |
Real period |
R |
0.37232775527543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80850ff2 11550m2 |
Quadratic twists by: 5 -7 |