Atkin-Lehner |
2- 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
41328bf |
Isogeny class |
Conductor |
41328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
46098528731136 = 217 · 36 · 7 · 413 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 0 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11451,340202] |
[a1,a2,a3,a4,a6] |
Generators |
[-686:6653:8] |
Generators of the group modulo torsion |
j |
55611739513/15438304 |
j-invariant |
L |
7.6874656394273 |
L(r)(E,1)/r! |
Ω |
0.59482509624222 |
Real period |
R |
6.4619546888556 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5166bf1 4592i1 |
Quadratic twists by: -4 -3 |