Atkin-Lehner |
2- 3- 5- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21390r |
Isogeny class |
Conductor |
21390 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
501760 |
Modular degree for the optimal curve |
Δ |
270463367758479360 = 240 · 3 · 5 · 232 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-354650,77315940] |
[a1,a2,a3,a4,a6] |
j |
4933142732095233789601/270463367758479360 |
j-invariant |
L |
6.1042636460097 |
L(r)(E,1)/r! |
Ω |
0.30521318230049 |
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 |
64170k1 106950k1 |
Quadratic twists by: -3 5 |