Atkin-Lehner |
2+ 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21150p |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
17131500000000 = 28 · 36 · 59 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1298817,-569406659] |
[a1,a2,a3,a4,a6] |
j |
21272583599722441/1504000 |
j-invariant |
L |
1.1313644724642 |
L(r)(E,1)/r! |
Ω |
0.14142055905803 |
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 |
2350l1 4230bb1 |
Quadratic twists by: -3 5 |