Atkin-Lehner |
2- 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1938j |
Isogeny class |
Conductor |
1938 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3.0969499140945E+21 |
Discriminant |
Eigenvalues |
2- 3- 1 3 2 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3598190,517296968] |
[a1,a2,a3,a4,a6] |
j |
5152001506110026101064159/3096949914094458852996 |
j-invariant |
L |
4.3548145184342 |
L(r)(E,1)/r! |
Ω |
0.087096290368684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15504q2 62016m2 5814d2 48450a2 |
Quadratic twists by: -4 8 -3 5 |