Atkin-Lehner |
3- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
46569i |
Isogeny class |
Conductor |
46569 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
4958306536233 = 3 · 197 · 432 |
Discriminant |
Eigenvalues |
-1 3- 0 0 -6 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5603,120288] |
[a1,a2,a3,a4,a6] |
Generators |
[87:498:1] [4053:42070:27] |
Generators of the group modulo torsion |
j |
413493625/105393 |
j-invariant |
L |
7.0502887689483 |
L(r)(E,1)/r! |
Ω |
0.7196971254566 |
Real period |
R |
4.8980942952043 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2451a1 |
Quadratic twists by: -19 |