Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
10080p |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
457228800 = 29 · 36 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117603,15523002] |
[a1,a2,a3,a4,a6] |
Generators |
[202:98:1] |
Generators of the group modulo torsion |
j |
481927184300808/1225 |
j-invariant |
L |
4.2587549950937 |
L(r)(E,1)/r! |
Ω |
1.0954580089445 |
Real period |
R |
1.9438239349754 |
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 |
10080j2 20160fa4 1120o2 50400cv4 |
Quadratic twists by: -4 8 -3 5 |