Atkin-Lehner |
5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
67915c |
Isogeny class |
Conductor |
67915 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
1639302998635 = 5 · 178 · 47 |
Discriminant |
Eigenvalues |
1 -1 5+ -3 3 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5063,-126362] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:106:1] [86:246:1] |
Generators of the group modulo torsion |
j |
594823321/67915 |
j-invariant |
L |
8.5489393267996 |
L(r)(E,1)/r! |
Ω |
0.57016885035077 |
Real period |
R |
7.4968488032628 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999765 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3995d1 |
Quadratic twists by: 17 |