Atkin-Lehner |
2- 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
10458x |
Isogeny class |
Conductor |
10458 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
132853889714112 = 26 · 316 · 7 · 832 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 6 4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-25286,1451157] |
[a1,a2,a3,a4,a6] |
Generators |
[173:1407:1] |
Generators of the group modulo torsion |
j |
2452564753920793/182241275328 |
j-invariant |
L |
6.546912148034 |
L(r)(E,1)/r! |
Ω |
0.57204597263559 |
Real period |
R |
0.95372756462656 |
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 |
83664bn2 3486d2 73206bi2 |
Quadratic twists by: -4 -3 -7 |