Atkin-Lehner |
2- 3- 7+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158bu |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-76157172 = -1 · 22 · 36 · 72 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 2 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158,-831] |
[a1,a2,a3,a4,a6] |
Generators |
[1236:2885:64] |
Generators of the group modulo torsion |
j |
-594823321/104468 |
j-invariant |
L |
13.552313606132 |
L(r)(E,1)/r! |
Ω |
0.66723895334482 |
Real period |
R |
5.07775870169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000235 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7462d1 |
Quadratic twists by: -3 |