Atkin-Lehner |
3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36225be |
Isogeny class |
Conductor |
36225 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-45474756591796875 = -1 · 37 · 512 · 7 · 233 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -3 4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,42450,9691906] |
[a1,a2,a3,a4,a6] |
j |
742692847616/3992296875 |
j-invariant |
L |
1.0360552339792 |
L(r)(E,1)/r! |
Ω |
0.25901380849881 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12075g2 7245u2 |
Quadratic twists by: -3 5 |