Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
2010c |
Isogeny class |
Conductor |
2010 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
-3024229820792832000 = -1 · 223 · 316 · 53 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -5 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-281067,101322621] |
[a1,a2,a3,a4,a6] |
Generators |
[717:16044:1] |
Generators of the group modulo torsion |
j |
-2455589123241289310521/3024229820792832000 |
j-invariant |
L |
1.8808551783356 |
L(r)(E,1)/r! |
Ω |
0.22902140377299 |
Real period |
R |
1.3687622985957 |
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 |
16080x1 64320z1 6030w1 10050bi1 |
Quadratic twists by: -4 8 -3 5 |