Atkin-Lehner |
2- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67048g |
Isogeny class |
Conductor |
67048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112608 |
Modular degree for the optimal curve |
Δ |
51788023241984 = 28 · 178 · 29 |
Discriminant |
Eigenvalues |
2- 0 1 3 2 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19652,-1002252] |
[a1,a2,a3,a4,a6] |
Generators |
[-346868:896446:4913] |
Generators of the group modulo torsion |
j |
470016/29 |
j-invariant |
L |
7.6202200881142 |
L(r)(E,1)/r! |
Ω |
0.40478310942513 |
Real period |
R |
9.4127199362206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67048e1 |
Quadratic twists by: 17 |