Atkin-Lehner |
3- 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
10815g |
Isogeny class |
Conductor |
10815 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
5794839225 = 38 · 52 · 73 · 103 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 2 4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-601,4280] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:104:1] |
Generators of the group modulo torsion |
j |
24010007244049/5794839225 |
j-invariant |
L |
3.6162819878192 |
L(r)(E,1)/r! |
Ω |
1.266920884053 |
Real period |
R |
0.23786554954734 |
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 |
32445p1 54075i1 75705n1 |
Quadratic twists by: -3 5 -7 |