Atkin-Lehner |
3- 7- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43407m |
Isogeny class |
Conductor |
43407 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-411368139 = -1 · 38 · 7 · 132 · 53 |
Discriminant |
Eigenvalues |
-2 3- -1 7- -3 13+ -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-136083,19322082] |
[a1,a2,a3,a4,a6] |
Generators |
[206:-176:1] |
Generators of the group modulo torsion |
j |
-382303090200088576/564291 |
j-invariant |
L |
2.496214675261 |
L(r)(E,1)/r! |
Ω |
1.0777111144721 |
Real period |
R |
0.28952734199086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14469l1 |
Quadratic twists by: -3 |