Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21150bm |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-876006562500 = -1 · 22 · 33 · 57 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 6 -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1870,-33003] |
[a1,a2,a3,a4,a6] |
j |
1715072373/2076460 |
j-invariant |
L |
3.8104296796769 |
L(r)(E,1)/r! |
Ω |
0.47630370995961 |
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 |
21150g2 4230c1 |
Quadratic twists by: -3 5 |