Atkin-Lehner |
2- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
110894u |
Isogeny class |
Conductor |
110894 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
22680 |
Modular degree for the optimal curve |
Δ |
-28388864 = -1 · 29 · 7 · 892 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 6 -1 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-76,-368] |
[a1,a2,a3,a4,a6] |
Generators |
[12:16:1] |
Generators of the group modulo torsion |
j |
-6133969/3584 |
j-invariant |
L |
12.657405125924 |
L(r)(E,1)/r! |
Ω |
0.78726904164802 |
Real period |
R |
1.7864011779875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027957 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110894p1 |
Quadratic twists by: 89 |