Atkin-Lehner |
2+ 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22512c |
Isogeny class |
Conductor |
22512 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1299989117952 = -1 · 210 · 32 · 7 · 674 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-152,54912] |
[a1,a2,a3,a4,a6] |
j |
-381775972/1269520623 |
j-invariant |
L |
1.3796069019231 |
L(r)(E,1)/r! |
Ω |
0.68980345096154 |
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 |
11256e4 90048bp3 67536q3 |
Quadratic twists by: -4 8 -3 |