Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410h |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
331976639877120 = 212 · 39 · 5 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18090,-325004] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:713:1] |
Generators of the group modulo torsion |
j |
7633736209/3870720 |
j-invariant |
L |
2.5223524972174 |
L(r)(E,1)/r! |
Ω |
0.43434631370006 |
Real period |
R |
0.72590477277518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35280dy1 1470m1 22050dz1 630f1 |
Quadratic twists by: -4 -3 5 -7 |