Atkin-Lehner |
2- 5+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
110110bo |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
194400 |
Modular degree for the optimal curve |
Δ |
-1362241830950 = -1 · 2 · 52 · 7 · 116 · 133 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 11- 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,784,-55450] |
[a1,a2,a3,a4,a6] |
Generators |
[55284142:625193319:405224] |
Generators of the group modulo torsion |
j |
30080231/768950 |
j-invariant |
L |
10.675202020488 |
L(r)(E,1)/r! |
Ω |
0.41412956259186 |
Real period |
R |
12.888722487628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007634 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
910b1 |
Quadratic twists by: -11 |