Atkin-Lehner |
2- 3- 7+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
28938o |
Isogeny class |
Conductor |
28938 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-13803426 = -1 · 2 · 33 · 7 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 3 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27,-189] |
[a1,a2,a3,a4,a6] |
Generators |
[102:267:8] |
Generators of the group modulo torsion |
j |
-2181825073/13803426 |
j-invariant |
L |
8.3949716011512 |
L(r)(E,1)/r! |
Ω |
0.93403269097005 |
Real period |
R |
1.4979796178998 |
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 |
86814l1 |
Quadratic twists by: -3 |