Atkin-Lehner |
5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
65065g |
Isogeny class |
Conductor |
65065 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
594048 |
Modular degree for the optimal curve |
Δ |
-1400377164701515 = -1 · 5 · 74 · 11 · 139 |
Discriminant |
Eigenvalues |
-2 2 5+ 7+ 11- 13- 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,16844,1586132] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:661:1] |
Generators of the group modulo torsion |
j |
49836032/132055 |
j-invariant |
L |
4.3777525376221 |
L(r)(E,1)/r! |
Ω |
0.33643339432614 |
Real period |
R |
3.2530603462974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65065v1 |
Quadratic twists by: 13 |