Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
28314n |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-1614577536 = -1 · 27 · 36 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 11+ 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,291,-379] |
[a1,a2,a3,a4,a6] |
Generators |
[25:136:1] |
Generators of the group modulo torsion |
j |
2803221/1664 |
j-invariant |
L |
4.4435968885508 |
L(r)(E,1)/r! |
Ω |
0.87753520998975 |
Real period |
R |
1.2659312236037 |
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 |
3146j1 28314bk1 |
Quadratic twists by: -3 -11 |