Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21660ba |
Isogeny class |
Conductor |
21660 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
246240 |
Modular degree for the optimal curve |
Δ |
122281653895200000 = 28 · 32 · 55 · 198 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -1 4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-146325,-13505625] |
[a1,a2,a3,a4,a6] |
j |
79691776/28125 |
j-invariant |
L |
2.5119842046215 |
L(r)(E,1)/r! |
Ω |
0.25119842046214 |
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 |
86640ci1 64980m1 108300e1 21660p1 |
Quadratic twists by: -4 -3 5 -19 |