Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314bu |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
342144 |
Modular degree for the optimal curve |
Δ |
-319884827401678968 = -1 · 23 · 315 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 11- 13+ 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56651,27716307] |
[a1,a2,a3,a4,a6] |
j |
-128667913/2047032 |
j-invariant |
L |
1.5477245453607 |
L(r)(E,1)/r! |
Ω |
0.25795409089364 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9438d1 28314bb1 |
Quadratic twists by: -3 -11 |