Atkin-Lehner |
2+ 3- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850df |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-99206506337904000 = -1 · 27 · 317 · 53 · 7 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 5 5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-262557,54020101] |
[a1,a2,a3,a4,a6] |
j |
-21966350325866981/1088685940608 |
j-invariant |
L |
2.6637241851603 |
L(r)(E,1)/r! |
Ω |
0.33296552324083 |
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 |
19950cl1 59850ga1 |
Quadratic twists by: -3 5 |