Atkin-Lehner |
2+ 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21150x |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
-329801932800 = -1 · 213 · 36 · 52 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -5 -4 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6912,-221184] |
[a1,a2,a3,a4,a6] |
j |
-2004023020585/18096128 |
j-invariant |
L |
0.52331322769023 |
L(r)(E,1)/r! |
Ω |
0.26165661384512 |
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 |
2350k1 21150cu1 |
Quadratic twists by: -3 5 |