Atkin-Lehner |
2- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
6440g |
Isogeny class |
Conductor |
6440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
640 |
Modular degree for the optimal curve |
Δ |
1030400 = 28 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 2 -4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47,114] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:10:1] |
Generators of the group modulo torsion |
j |
44851536/4025 |
j-invariant |
L |
4.0428245321583 |
L(r)(E,1)/r! |
Ω |
2.699045335659 |
Real period |
R |
0.748936017996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12880j1 51520b1 57960n1 32200h1 |
Quadratic twists by: -4 8 -3 5 |