Atkin-Lehner |
2- 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890ft |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
348 |
Product of Tamagawa factors cp |
deg |
2004480 |
Modular degree for the optimal curve |
Δ |
-625668085776384000 = -1 · 229 · 38 · 53 · 72 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 3 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-306032,75538131] |
[a1,a2,a3,a4,a6] |
Generators |
[221:-4431:1] |
Generators of the group modulo torsion |
j |
-88735887016479241/17515413504000 |
j-invariant |
L |
13.348976260514 |
L(r)(E,1)/r! |
Ω |
0.27686999266624 |
Real period |
R |
0.13854562656286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000149895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630i1 127890eh1 |
Quadratic twists by: -3 -7 |