Atkin-Lehner |
2- 5+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
119350bi |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-42011200 = -1 · 26 · 52 · 7 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- -1 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-145,-703] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-100:1] |
Generators of the group modulo torsion |
j |
-13399134345/1680448 |
j-invariant |
L |
9.4907827921318 |
L(r)(E,1)/r! |
Ω |
0.68348040474641 |
Real period |
R |
1.1571634894333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999481018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119350x1 |
Quadratic twists by: 5 |