Atkin-Lehner |
2- 7+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
52234v |
Isogeny class |
Conductor |
52234 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
32544 |
Modular degree for the optimal curve |
Δ |
-3358019392 = -1 · 26 · 74 · 13 · 412 |
Discriminant |
Eigenvalues |
2- -2 2 7+ 3 13- -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-442,-4572] |
[a1,a2,a3,a4,a6] |
Generators |
[26:28:1] |
Generators of the group modulo torsion |
j |
-3977954113/1398592 |
j-invariant |
L |
7.5305955819325 |
L(r)(E,1)/r! |
Ω |
0.51155675057998 |
Real period |
R |
1.2267448941272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999591 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52234bb1 |
Quadratic twists by: -7 |