Atkin-Lehner |
2+ 3- 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
90090z |
Isogeny class |
Conductor |
90090 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-500911788532845690 = -1 · 2 · 36 · 5 · 76 · 112 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1553760,746625330] |
[a1,a2,a3,a4,a6] |
j |
-569047017391330383361/687121794969610 |
j-invariant |
L |
1.1730862027109 |
L(r)(E,1)/r! |
Ω |
0.29327152924992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
10010z4 |
Quadratic twists by: -3 |