Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314x |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-998749005018336 = -1 · 25 · 36 · 117 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 11- 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7101,1539621] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:609:1] |
Generators of the group modulo torsion |
j |
-30664297/773344 |
j-invariant |
L |
3.1202334319454 |
L(r)(E,1)/r! |
Ω |
0.41371600644873 |
Real period |
R |
1.8854923324873 |
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 |
3146n1 2574y1 |
Quadratic twists by: -3 -11 |