Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040db |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3000241842900664320 = 215 · 33 · 5 · 714 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-439105,-74966305] |
[a1,a2,a3,a4,a6] |
j |
2428799546888/778248135 |
j-invariant |
L |
4.5640036750498 |
L(r)(E,1)/r! |
Ω |
0.19016681980379 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040bb3 23520bc3 6720a4 |
Quadratic twists by: -4 8 -7 |