Atkin-Lehner |
2+ 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43602f |
Isogeny class |
Conductor |
43602 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1778400 |
Modular degree for the optimal curve |
Δ |
-964922426794234116 = -1 · 22 · 319 · 136 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -3 1 1 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7456959,7834774329] |
[a1,a2,a3,a4,a6] |
Generators |
[1568:-107:1] |
Generators of the group modulo torsion |
j |
-9500554530751882177/199908972324 |
j-invariant |
L |
2.6533049780024 |
L(r)(E,1)/r! |
Ω |
0.25702868327335 |
Real period |
R |
5.1614958770544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
258e1 |
Quadratic twists by: 13 |