Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410b |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
4373530383237120 = 214 · 33 · 5 · 711 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-251085,-48258715] |
[a1,a2,a3,a4,a6] |
j |
551105805571803/1376829440 |
j-invariant |
L |
0.42661829953637 |
L(r)(E,1)/r! |
Ω |
0.21330914976818 |
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 |
35280dd1 4410y1 22050dg1 630b1 |
Quadratic twists by: -4 -3 5 -7 |