Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
10080i |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
290479559892480 = 29 · 39 · 5 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20163,-736202] |
[a1,a2,a3,a4,a6] |
j |
2428799546888/778248135 |
j-invariant |
L |
1.6432291314522 |
L(r)(E,1)/r! |
Ω |
0.41080728286306 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10080bp3 20160bw3 3360v3 50400dn3 |
Quadratic twists by: -4 8 -3 5 |