Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
55692ba |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
540 |
Product of Tamagawa factors cp |
deg |
1762560 |
Modular degree for the optimal curve |
Δ |
2.3457492949246E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -4 13+ 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3643293,2573204429] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:54621:1] |
Generators of the group modulo torsion |
j |
458520227545503997696/20111019332343849 |
j-invariant |
L |
4.8104938544925 |
L(r)(E,1)/r! |
Ω |
0.17440608442031 |
Real period |
R |
0.051078045713479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18564e1 |
Quadratic twists by: -3 |