Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626x |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-9465475968 = -1 · 27 · 39 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- -4 4 -4 13+ 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,328,-4165] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-119:1] |
Generators of the group modulo torsion |
j |
18576359/44928 |
j-invariant |
L |
7.8193349030781 |
L(r)(E,1)/r! |
Ω |
0.66933448746136 |
Real period |
R |
0.41722332564049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999897 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22542k1 67626z1 |
Quadratic twists by: -3 17 |