Atkin-Lehner |
3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44649b |
Isogeny class |
Conductor |
44649 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
60410097 = 33 · 113 · 412 |
Discriminant |
Eigenvalues |
-1 3+ 0 0 11+ -4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1145,-14616] |
[a1,a2,a3,a4,a6] |
Generators |
[56:279:1] |
Generators of the group modulo torsion |
j |
4615754625/1681 |
j-invariant |
L |
3.1439154393595 |
L(r)(E,1)/r! |
Ω |
0.82079993175213 |
Real period |
R |
1.9151533264791 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44649d1 44649c1 |
Quadratic twists by: -3 -11 |