Atkin-Lehner |
3+ 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
54075g |
Isogeny class |
Conductor |
54075 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-54075 = -1 · 3 · 52 · 7 · 103 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ 1 6 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,2,-12] |
[a1,a2,a3,a4,a6] |
Generators |
[3:3:1] |
Generators of the group modulo torsion |
j |
20480/2163 |
j-invariant |
L |
2.4497418519089 |
L(r)(E,1)/r! |
Ω |
1.6795423121633 |
Real period |
R |
1.4585770386182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54075be1 |
Quadratic twists by: 5 |