Atkin-Lehner |
3- 7+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43407h |
Isogeny class |
Conductor |
43407 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-162216169479 = -1 · 37 · 72 · 134 · 53 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 0 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,954,-15953] |
[a1,a2,a3,a4,a6] |
Generators |
[1886:80957:1] |
Generators of the group modulo torsion |
j |
131639193503/222518751 |
j-invariant |
L |
7.6422046929147 |
L(r)(E,1)/r! |
Ω |
0.53739628075552 |
Real period |
R |
3.5551998434795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14469d1 |
Quadratic twists by: -3 |