Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040bb |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[1556541:103763036:343] |
Generators of the group modulo torsion |
j |
2428799546888/778248135 |
j-invariant |
L |
5.4595412770369 |
L(r)(E,1)/r! |
Ω |
0.23410157235601 |
Real period |
R |
11.660624963093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040db3 23520m3 6720s3 |
Quadratic twists by: -4 8 -7 |