Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
46240bi |
Isogeny class |
Conductor |
46240 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-147968000 = -1 · 212 · 53 · 172 |
Discriminant |
Eigenvalues |
2- -3 5- 1 2 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,68,544] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:20:1] |
Generators of the group modulo torsion |
j |
29376/125 |
j-invariant |
L |
4.158358996465 |
L(r)(E,1)/r! |
Ω |
1.3090035819794 |
Real period |
R |
0.26472801231597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46240r1 92480bd1 46240z1 |
Quadratic twists by: -4 8 17 |