Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
36400cv |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
881893376000 = 216 · 53 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2915,-40350] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:130:1] |
Generators of the group modulo torsion |
j |
5350192749/1722448 |
j-invariant |
L |
5.679441491716 |
L(r)(E,1)/r! |
Ω |
0.66632702788546 |
Real period |
R |
0.7102920505539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4550l1 36400ch1 |
Quadratic twists by: -4 5 |