Atkin-Lehner |
2+ 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890ch |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
67737600 |
Modular degree for the optimal curve |
Δ |
-6.6519010473909E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -5 -1 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1358813619,-19279212646667] |
[a1,a2,a3,a4,a6] |
Generators |
[376878573842166694:39353860472469691243:7878223178792] |
Generators of the group modulo torsion |
j |
-158519866173123187194406609/3800371842888336000 |
j-invariant |
L |
4.0410217003276 |
L(r)(E,1)/r! |
Ω |
0.012433086682943 |
Real period |
R |
27.085133157048 |
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 |
42630cc1 127890bs1 |
Quadratic twists by: -3 -7 |