Atkin-Lehner |
2+ 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480i |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
858661689600 = 28 · 38 · 52 · 112 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5223,-138278] |
[a1,a2,a3,a4,a6] |
j |
84433792336/4601025 |
j-invariant |
L |
2.2539858183111 |
L(r)(E,1)/r! |
Ω |
0.56349645445999 |
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 |
102960ba2 17160y2 |
Quadratic twists by: -4 -3 |