Atkin-Lehner |
2- 3- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
55692z |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-575550500787714816 = -1 · 28 · 36 · 75 · 133 · 174 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 0 13+ 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-237072,57499972] |
[a1,a2,a3,a4,a6] |
Generators |
[692:14994:1] |
Generators of the group modulo torsion |
j |
-7895815816413184/3084011171059 |
j-invariant |
L |
6.8231625306078 |
L(r)(E,1)/r! |
Ω |
0.27312761138363 |
Real period |
R |
0.20817993269393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6188d1 |
Quadratic twists by: -3 |