Atkin-Lehner |
2+ 5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73150j |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
341711856640000000 = 216 · 57 · 75 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-440917,-109013259] |
[a1,a2,a3,a4,a6] |
Generators |
[-345:1569:1] |
Generators of the group modulo torsion |
j |
606701084966456481/21869558824960 |
j-invariant |
L |
3.8166854166755 |
L(r)(E,1)/r! |
Ω |
0.18568284802049 |
Real period |
R |
2.0554862536467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000615 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630s1 |
Quadratic twists by: 5 |