Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600h |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
-3.3932550183322E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4277633,4411723137] |
[a1,a2,a3,a4,a6] |
Generators |
[1935323059:300892979200:79507] |
Generators of the group modulo torsion |
j |
-2113364608155289/828431400960 |
j-invariant |
L |
5.7423971833862 |
L(r)(E,1)/r! |
Ω |
0.13246606565105 |
Real period |
R |
10.837487232865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81600hz1 2550ba1 16320bl1 |
Quadratic twists by: -4 8 5 |