Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
102240br |
Isogeny class |
Conductor |
102240 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
476265614400000 = 29 · 310 · 55 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 2 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24299787,46105402066] |
[a1,a2,a3,a4,a6] |
Generators |
[2882:3330:1] |
Generators of the group modulo torsion |
j |
4251416201539967536712/1276003125 |
j-invariant |
L |
8.8234454164677 |
L(r)(E,1)/r! |
Ω |
0.31205569053406 |
Real period |
R |
2.8275226730486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102240bi2 34080n2 |
Quadratic twists by: -4 -3 |