Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5472j |
Isogeny class |
Conductor |
5472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-7091712 = -1 · 29 · 36 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 2 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45,54] |
[a1,a2,a3,a4,a6] |
Generators |
[1:10:1] |
Generators of the group modulo torsion |
j |
27000/19 |
j-invariant |
L |
4.081726956113 |
L(r)(E,1)/r! |
Ω |
1.4940897614011 |
Real period |
R |
1.3659577428217 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5472c1 10944bs1 608f1 103968bs1 |
Quadratic twists by: -4 8 -3 -19 |