Atkin-Lehner |
2- 3+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
11868b |
Isogeny class |
Conductor |
11868 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-32301467904 = -1 · 28 · 3 · 232 · 433 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 -3 -5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,604,-6696] |
[a1,a2,a3,a4,a6] |
Generators |
[170:989:8] |
Generators of the group modulo torsion |
j |
95033195696/126177609 |
j-invariant |
L |
3.6080754134046 |
L(r)(E,1)/r! |
Ω |
0.62334948471208 |
Real period |
R |
0.96470104970386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47472o1 35604i1 |
Quadratic twists by: -4 -3 |