Atkin-Lehner |
2+ 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050m |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-72902592000000 = -1 · 212 · 34 · 56 · 73 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2524,408098] |
[a1,a2,a3,a4,a6] |
j |
113872553423/4665765888 |
j-invariant |
L |
1.8602900728868 |
L(r)(E,1)/r! |
Ω |
0.46507251825896 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150cv1 1722m1 |
Quadratic twists by: -3 5 |