Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21150bf |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
1156376250 = 2 · 39 · 54 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -4 -1 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1692,27166] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-7:1] |
Generators of the group modulo torsion |
j |
1176147025/2538 |
j-invariant |
L |
4.0609526202056 |
L(r)(E,1)/r! |
Ω |
1.545611394514 |
Real period |
R |
1.3137042838256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7050bb1 21150cf1 |
Quadratic twists by: -3 5 |