Atkin-Lehner |
5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
12775n |
Isogeny class |
Conductor |
12775 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
23520 |
Modular degree for the optimal curve |
Δ |
-12887933235625 = -1 · 54 · 710 · 73 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 3 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4030,199822] |
[a1,a2,a3,a4,a6] |
Generators |
[334:-6170:1] |
Generators of the group modulo torsion |
j |
-11578646613825/20620693177 |
j-invariant |
L |
2.7878106815541 |
L(r)(E,1)/r! |
Ω |
0.63423029228065 |
Real period |
R |
0.14651936977704 |
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 |
114975bp1 12775b1 89425bf1 |
Quadratic twists by: -3 5 -7 |