Atkin-Lehner |
2+ 3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970bw |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
250826794573824000 = 216 · 37 · 53 · 77 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-447624,-112612032] |
[a1,a2,a3,a4,a6] |
Generators |
[-383:1784:1] |
Generators of the group modulo torsion |
j |
115650783909361/2924544000 |
j-invariant |
L |
6.1610120060853 |
L(r)(E,1)/r! |
Ω |
0.1848591348288 |
Real period |
R |
2.7773453971145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988788 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990bz1 10710h1 |
Quadratic twists by: -3 -7 |