Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
4410g |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-403275801600000 = -1 · 213 · 38 · 55 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 5 -5 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26910,-1947884] |
[a1,a2,a3,a4,a6] |
j |
-1231272543361/230400000 |
j-invariant |
L |
1.107026500191 |
L(r)(E,1)/r! |
Ω |
0.18450441669849 |
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 |
35280du1 1470l1 22050dw1 4410u1 |
Quadratic twists by: -4 -3 5 -7 |