Atkin-Lehner |
2+ 3- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49104i |
Isogeny class |
Conductor |
49104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-23251428067824 = -1 · 24 · 318 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 11+ 6 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3057,222689] |
[a1,a2,a3,a4,a6] |
j |
270871003904/1993435191 |
j-invariant |
L |
1.9683091119544 |
L(r)(E,1)/r! |
Ω |
0.49207727805946 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24552w1 16368c1 |
Quadratic twists by: -4 -3 |