Atkin-Lehner |
2- 5+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11960d |
Isogeny class |
Conductor |
11960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-2631965440 = -1 · 28 · 5 · 132 · 233 |
Discriminant |
Eigenvalues |
2- 2 5+ 3 0 13- -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,2645] |
[a1,a2,a3,a4,a6] |
Generators |
[19:78:1] |
Generators of the group modulo torsion |
j |
-1814078464/10281115 |
j-invariant |
L |
6.6522357125705 |
L(r)(E,1)/r! |
Ω |
1.2453742928756 |
Real period |
R |
1.3353888366385 |
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 |
23920c1 95680q1 107640s1 59800a1 |
Quadratic twists by: -4 8 -3 5 |