Atkin-Lehner |
5- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
67915p |
Isogeny class |
Conductor |
67915 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
2215753404296875 = 59 · 176 · 47 |
Discriminant |
Eigenvalues |
-1 1 5- -1 -3 3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1026245,-400230850] |
[a1,a2,a3,a4,a6] |
Generators |
[1265:17430:1] |
Generators of the group modulo torsion |
j |
4952031207028849/91796875 |
j-invariant |
L |
3.9712030817125 |
L(r)(E,1)/r! |
Ω |
0.14999862291507 |
Real period |
R |
1.4708294594122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
235b1 |
Quadratic twists by: 17 |