Atkin-Lehner |
2- 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
43472k |
Isogeny class |
Conductor |
43472 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
731136 |
Modular degree for the optimal curve |
Δ |
-1.4006429765333E+19 |
Discriminant |
Eigenvalues |
2- 1 3 -1 11+ 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,71096,-179890316] |
[a1,a2,a3,a4,a6] |
Generators |
[145830:-4828736:125] |
Generators of the group modulo torsion |
j |
9702712366430903/3419538516927104 |
j-invariant |
L |
8.3548863851263 |
L(r)(E,1)/r! |
Ω |
0.10454048031741 |
Real period |
R |
1.2487516737171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5434e1 |
Quadratic twists by: -4 |