Atkin-Lehner |
2- 3- 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46920s |
Isogeny class |
Conductor |
46920 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-16623474480 = -1 · 24 · 312 · 5 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,409,-5190] |
[a1,a2,a3,a4,a6] |
Generators |
[19:99:1] |
Generators of the group modulo torsion |
j |
471749421056/1038967155 |
j-invariant |
L |
5.2411761235271 |
L(r)(E,1)/r! |
Ω |
0.64132795400443 |
Real period |
R |
1.362063431766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93840g1 |
Quadratic twists by: -4 |