Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38640ci |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1869557760000 = 215 · 34 · 54 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 0 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15176,711540] |
[a1,a2,a3,a4,a6] |
Generators |
[46:336:1] |
Generators of the group modulo torsion |
j |
94376601570889/456435000 |
j-invariant |
L |
6.6016749141443 |
L(r)(E,1)/r! |
Ω |
0.83788595326939 |
Real period |
R |
0.49243537324366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830d2 115920eh2 |
Quadratic twists by: -4 -3 |