Atkin-Lehner |
2+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400x |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-21025000000 = -1 · 26 · 58 · 292 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 -2 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,592,4438] |
[a1,a2,a3,a4,a6] |
j |
22906304/21025 |
j-invariant |
L |
1.5839644440975 |
L(r)(E,1)/r! |
Ω |
0.7919822220954 |
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 |
46400t1 23200a2 9280c1 |
Quadratic twists by: -4 8 5 |