Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
10080r |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5879761187328000 = -1 · 212 · 314 · 53 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41628,-4929248] |
[a1,a2,a3,a4,a6] |
Generators |
[269:1827:1] |
Generators of the group modulo torsion |
j |
-2671731885376/1969120125 |
j-invariant |
L |
4.4434330187792 |
L(r)(E,1)/r! |
Ω |
0.161908136763 |
Real period |
R |
3.4305201607035 |
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 |
10080bn4 20160co1 3360z4 50400de2 |
Quadratic twists by: -4 8 -3 5 |