Atkin-Lehner |
2- 3- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18486z |
Isogeny class |
Conductor |
18486 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-127178266116096 = -1 · 221 · 310 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 3 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-402827,98509083] |
[a1,a2,a3,a4,a6] |
Generators |
[347:474:1] |
Generators of the group modulo torsion |
j |
-9916328130235181929/174455783424 |
j-invariant |
L |
7.7603384888378 |
L(r)(E,1)/r! |
Ω |
0.53854096757437 |
Real period |
R |
0.17154680437049 |
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 |
6162e1 |
Quadratic twists by: -3 |