Atkin-Lehner |
2+ 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850cs |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6128640 |
Modular degree for the optimal curve |
Δ |
-5.195750993627E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 5 -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2723742,11103185916] |
[a1,a2,a3,a4,a6] |
Generators |
[462433818:41796580341:54872] |
Generators of the group modulo torsion |
j |
-1569510182075597/36491419872936 |
j-invariant |
L |
4.8822027466979 |
L(r)(E,1)/r! |
Ω |
0.094252501636484 |
Real period |
R |
12.949796191072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998637 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19950de1 59850gm1 |
Quadratic twists by: -3 5 |