Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
10080s |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-132269760000 = -1 · 29 · 310 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,17498] |
[a1,a2,a3,a4,a6] |
Generators |
[74:650:1] |
Generators of the group modulo torsion |
j |
-8/354375 |
j-invariant |
L |
4.8146762422952 |
L(r)(E,1)/r! |
Ω |
0.82596004746108 |
Real period |
R |
2.914593906264 |
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 |
10080m4 20160fj4 3360p4 50400dg2 |
Quadratic twists by: -4 8 -3 5 |