Atkin-Lehner |
2+ 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19950bf |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-52787700000000 = -1 · 28 · 34 · 58 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 -1 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3174,-342452] |
[a1,a2,a3,a4,a6] |
Generators |
[77:561:1] |
Generators of the group modulo torsion |
j |
9056932295/135136512 |
j-invariant |
L |
3.8107455680599 |
L(r)(E,1)/r! |
Ω |
0.30855442133692 |
Real period |
R |
0.51459662981931 |
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 |
59850gc1 19950cb1 |
Quadratic twists by: -3 5 |