Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314a |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2651116812008359266 = 2 · 39 · 119 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11+ 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-509856,116310662] |
[a1,a2,a3,a4,a6] |
Generators |
[209922:-5115181:216] |
Generators of the group modulo torsion |
j |
315821241/57122 |
j-invariant |
L |
5.1514437836483 |
L(r)(E,1)/r! |
Ω |
0.24367943180747 |
Real period |
R |
10.570124333921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28314bc2 28314bd2 |
Quadratic twists by: -3 -11 |