Atkin-Lehner |
2+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
56144f |
Isogeny class |
Conductor |
56144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-507656706081536 = -1 · 28 · 119 · 292 |
Discriminant |
Eigenvalues |
2+ 1 -3 -4 11- 2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16617,1356419] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:1331:1] |
Generators of the group modulo torsion |
j |
-1118952448/1119371 |
j-invariant |
L |
3.8178391600193 |
L(r)(E,1)/r! |
Ω |
0.4758203822467 |
Real period |
R |
1.002962279062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28072g1 5104a1 |
Quadratic twists by: -4 -11 |