Atkin-Lehner |
3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
25155l |
Isogeny class |
Conductor |
25155 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
16167406760578125 = 316 · 56 · 13 · 432 |
Discriminant |
Eigenvalues |
1 3- 5- 2 -2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9751959,-11719134212] |
[a1,a2,a3,a4,a6] |
Generators |
[-389478:199969:216] |
Generators of the group modulo torsion |
j |
140692779321470594548849/22177512703125 |
j-invariant |
L |
6.7476076138026 |
L(r)(E,1)/r! |
Ω |
0.085433183543757 |
Real period |
R |
6.5817591146601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8385a2 125775ba2 |
Quadratic twists by: -3 5 |