Atkin-Lehner |
2+ 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43602a |
Isogeny class |
Conductor |
43602 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-8251100163072 = -1 · 210 · 38 · 134 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 1 13+ -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-170355,-27134739] |
[a1,a2,a3,a4,a6] |
Generators |
[4854:334533:1] |
Generators of the group modulo torsion |
j |
-19143394127859625/288893952 |
j-invariant |
L |
4.0825924370939 |
L(r)(E,1)/r! |
Ω |
0.11749790214944 |
Real period |
R |
2.8955073256641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43602m1 |
Quadratic twists by: 13 |