Atkin-Lehner |
2- 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
10458s |
Isogeny class |
Conductor |
10458 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1736354373264 = 24 · 38 · 74 · 832 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3056,15171] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:267:1] |
Generators of the group modulo torsion |
j |
4328356230073/2381830416 |
j-invariant |
L |
5.501155883827 |
L(r)(E,1)/r! |
Ω |
0.72879198012864 |
Real period |
R |
1.8870802759301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
83664cj2 3486c2 73206br2 |
Quadratic twists by: -4 -3 -7 |