Atkin-Lehner |
3- 11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21879g |
Isogeny class |
Conductor |
21879 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
-969085746863091 = -1 · 36 · 115 · 134 · 172 |
Discriminant |
Eigenvalues |
0 3- 1 2 11+ 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-90282,10548063] |
[a1,a2,a3,a4,a6] |
j |
-111634825505112064/1329335729579 |
j-invariant |
L |
1.9881830440819 |
L(r)(E,1)/r! |
Ω |
0.49704576102049 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2431a1 |
Quadratic twists by: -3 |