Atkin-Lehner |
2+ 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28314t |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-11396318943438 = -1 · 2 · 311 · 114 · 133 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 13+ -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,522,-162486] |
[a1,a2,a3,a4,a6] |
Generators |
[69:411:1] |
Generators of the group modulo torsion |
j |
1472207/1067742 |
j-invariant |
L |
2.4580737052741 |
L(r)(E,1)/r! |
Ω |
0.33470585672267 |
Real period |
R |
0.61199847963591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9438ba1 28314cg1 |
Quadratic twists by: -3 -11 |