Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21150bl |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
289094062500000 = 25 · 39 · 510 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -2 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17930,-425303] |
[a1,a2,a3,a4,a6] |
j |
3316275/1504 |
j-invariant |
L |
4.3059921096509 |
L(r)(E,1)/r! |
Ω |
0.43059921096509 |
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 |
21150f1 21150k1 |
Quadratic twists by: -3 5 |