Atkin-Lehner |
2+ 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
51480i |
Isogeny class |
Conductor |
51480 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-33300661680 = -1 · 24 · 37 · 5 · 114 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,222,-8687] |
[a1,a2,a3,a4,a6] |
j |
103737344/2854995 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
102960ba1 17160y1 |
Quadratic twists by: -4 -3 |