Atkin-Lehner |
2+ 3+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
45990a |
Isogeny class |
Conductor |
45990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-137970000 = -1 · 24 · 33 · 54 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 3 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-105,-675] |
[a1,a2,a3,a4,a6] |
Generators |
[30:-165:1] |
Generators of the group modulo torsion |
j |
-4767078987/5110000 |
j-invariant |
L |
4.2466400306867 |
L(r)(E,1)/r! |
Ω |
0.71506405383879 |
Real period |
R |
0.74235308149941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45990bn1 |
Quadratic twists by: -3 |