Atkin-Lehner |
2- 41- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
112832bi |
Isogeny class |
Conductor |
112832 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-1805312 = -1 · 210 · 41 · 43 |
Discriminant |
Eigenvalues |
2- 1 0 1 -2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53,-181] |
[a1,a2,a3,a4,a6] |
Generators |
[95:928:1] |
Generators of the group modulo torsion |
j |
-16384000/1763 |
j-invariant |
L |
6.8626403402372 |
L(r)(E,1)/r! |
Ω |
0.87798980162189 |
Real period |
R |
3.9081549097133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112832o1 28208k1 |
Quadratic twists by: -4 8 |