Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850ec |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-2.785380696E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1606120,-176353253] |
[a1,a2,a3,a4,a6] |
Generators |
[649:-34075:1] |
Generators of the group modulo torsion |
j |
1489863969861597/905676800000 |
j-invariant |
L |
10.553263855754 |
L(r)(E,1)/r! |
Ω |
0.10077513364244 |
Real period |
R |
0.93500813877816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998437 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850o1 11970a1 |
Quadratic twists by: -3 5 |