Atkin-Lehner |
3- 5- 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
25665m |
Isogeny class |
Conductor |
25665 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-5409767199462890625 = -1 · 32 · 512 · 294 · 592 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-106675,112696250] |
[a1,a2,a3,a4,a6] |
j |
-134249266393167841201/5409767199462890625 |
j-invariant |
L |
2.407227502487 |
L(r)(E,1)/r! |
Ω |
0.20060229187392 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76995e3 128325e3 |
Quadratic twists by: -3 5 |