Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848bx |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
1.4540720219942E+19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4495617,-3662779743] |
[a1,a2,a3,a4,a6] |
Generators |
[-620584263:139776768:493039] |
Generators of the group modulo torsion |
j |
38331145780597164097/55468445663232 |
j-invariant |
L |
5.4688233655352 |
L(r)(E,1)/r! |
Ω |
0.10369073732839 |
Real period |
R |
13.185419224611 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22848bn1 5712t1 68544dq1 |
Quadratic twists by: -4 8 -3 |