Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600p |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-38700000000 = -1 · 28 · 32 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 5 3 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1033,-15563] |
[a1,a2,a3,a4,a6] |
j |
-30505984/9675 |
j-invariant |
L |
1.6572687607863 |
L(r)(E,1)/r! |
Ω |
0.41431718982987 |
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 |
25800bf1 10320k1 |
Quadratic twists by: -4 5 |