Atkin-Lehner |
2+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
46240q |
Isogeny class |
Conductor |
46240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
5918720 = 212 · 5 · 172 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 5 -2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45,-5] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:4:1] [-2:9:1] |
Generators of the group modulo torsion |
j |
8704/5 |
j-invariant |
L |
6.8632908556809 |
L(r)(E,1)/r! |
Ω |
2.044962825748 |
Real period |
R |
1.6780967285236 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46240k1 92480dj1 46240e1 |
Quadratic twists by: -4 8 17 |