Atkin-Lehner |
3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83205n |
Isogeny class |
Conductor |
83205 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
1023577509375 = 311 · 55 · 432 |
Discriminant |
Eigenvalues |
1 3- 5+ -3 5 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4410,-100575] |
[a1,a2,a3,a4,a6] |
Generators |
[112:839:1] |
Generators of the group modulo torsion |
j |
7037694889/759375 |
j-invariant |
L |
5.9064144945745 |
L(r)(E,1)/r! |
Ω |
0.58994493320902 |
Real period |
R |
5.0059032283542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005367 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27735m1 83205o1 |
Quadratic twists by: -3 -43 |