Atkin-Lehner |
2- 3- 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
56070bd |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
22441563220860000 = 25 · 37 · 54 · 78 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-421367,-104925841] |
[a1,a2,a3,a4,a6] |
Generators |
[897:14986:1] |
Generators of the group modulo torsion |
j |
11349501276842198569/30784037340000 |
j-invariant |
L |
10.926441715669 |
L(r)(E,1)/r! |
Ω |
0.18741541323362 |
Real period |
R |
0.36437910599282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999401 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18690g4 |
Quadratic twists by: -3 |