Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54150bc |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-160896913020000000 = -1 · 28 · 32 · 57 · 197 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,112624,12690398] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:1666:1] |
Generators of the group modulo torsion |
j |
214921799/218880 |
j-invariant |
L |
5.8744762550606 |
L(r)(E,1)/r! |
Ω |
0.2134030052904 |
Real period |
R |
1.7204760797358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998756 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830y1 2850p1 |
Quadratic twists by: 5 -19 |