Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4410j |
Isogeny class |
Conductor |
4410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
135025380 = 22 · 39 · 5 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-135,265] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:29:1] |
Generators of the group modulo torsion |
j |
1092727/540 |
j-invariant |
L |
2.5708709493999 |
L(r)(E,1)/r! |
Ω |
1.6367988493747 |
Real period |
R |
0.39266751537339 |
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 |
35280ed1 1470n1 22050eh1 4410q1 |
Quadratic twists by: -4 -3 5 -7 |