Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536be |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-45109841952817152 = -1 · 214 · 33 · 710 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 0 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-425201,-107348433] |
[a1,a2,a3,a4,a6] |
j |
-518904725785387216/2753286252003 |
j-invariant |
L |
5.0463441549044 |
L(r)(E,1)/r! |
Ω |
0.093450817683412 |
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 |
25536cq2 3192m2 76608bn2 |
Quadratic twists by: -4 8 -3 |