Atkin-Lehner |
2+ 3- 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450bq |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-229238690625000 = -1 · 23 · 33 · 58 · 73 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 7 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10326,832048] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:936:1] |
Generators of the group modulo torsion |
j |
-311673285625/586851048 |
j-invariant |
L |
6.4515971520493 |
L(r)(E,1)/r! |
Ω |
0.49809254323856 |
Real period |
R |
0.71958929878982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002267 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93450bz1 |
Quadratic twists by: 5 |