Atkin-Lehner |
2- 5+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
45050k |
Isogeny class |
Conductor |
45050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
1126250000 = 24 · 57 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -4 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2380,45247] |
[a1,a2,a3,a4,a6] |
Generators |
[13:121:1] |
Generators of the group modulo torsion |
j |
95381352009/72080 |
j-invariant |
L |
8.2066833312583 |
L(r)(E,1)/r! |
Ω |
1.5334731114954 |
Real period |
R |
2.675848461161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9010a1 |
Quadratic twists by: 5 |