Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
10080u |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-322620641280 = -1 · 212 · 38 · 5 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1572,13088] |
[a1,a2,a3,a4,a6] |
Generators |
[13:189:1] |
Generators of the group modulo torsion |
j |
143877824/108045 |
j-invariant |
L |
4.0424456439536 |
L(r)(E,1)/r! |
Ω |
0.61683621387596 |
Real period |
R |
0.81918942845307 |
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 |
10080bm4 20160cl1 3360o4 50400dh2 |
Quadratic twists by: -4 8 -3 5 |