Atkin-Lehner |
3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
25857j |
Isogeny class |
Conductor |
25857 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2234166532403013 = 36 · 139 · 172 |
Discriminant |
Eigenvalues |
-1 3- 4 2 6 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17822603,-28955960666] |
[a1,a2,a3,a4,a6] |
j |
177930109857804849/634933 |
j-invariant |
L |
2.6452046295948 |
L(r)(E,1)/r! |
Ω |
0.073477906377626 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2873b2 1989b2 |
Quadratic twists by: -3 13 |