Atkin-Lehner |
2- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
57680m |
Isogeny class |
Conductor |
57680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-20259061760 = -1 · 214 · 5 · 74 · 103 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -6 2 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-336,7360] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:32:1] [24:112:1] |
Generators of the group modulo torsion |
j |
-1027243729/4946060 |
j-invariant |
L |
7.7569221222523 |
L(r)(E,1)/r! |
Ω |
1.0550537961896 |
Real period |
R |
0.45950986991592 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999872 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7210c1 |
Quadratic twists by: -4 |