Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28314f |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-7252884113904 = -1 · 24 · 39 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11- 13- 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3471,152477] |
[a1,a2,a3,a4,a6] |
Generators |
[34:253:1] |
Generators of the group modulo torsion |
j |
-132651/208 |
j-invariant |
L |
5.2990821901308 |
L(r)(E,1)/r! |
Ω |
0.66805749302614 |
Real period |
R |
1.9830187691359 |
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 |
28314bi1 234b1 |
Quadratic twists by: -3 -11 |