Atkin-Lehner |
2+ 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
22512c |
Isogeny class |
Conductor |
22512 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1080779148288 = 210 · 38 · 74 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2752,-23312] |
[a1,a2,a3,a4,a6] |
j |
2251784602372/1055448387 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
11256e3 90048bp4 67536q4 |
Quadratic twists by: -4 8 -3 |