Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
12936j |
Isogeny class |
Conductor |
12936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
214682130432 = 211 · 34 · 76 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23144,-1362768] |
[a1,a2,a3,a4,a6] |
j |
5690357426/891 |
j-invariant |
L |
1.5482905306416 |
L(r)(E,1)/r! |
Ω |
0.38707263266041 |
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 |
25872d4 103488r4 38808cd4 264b3 |
Quadratic twists by: -4 8 -3 -7 |