Atkin-Lehner |
2- 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19950cf |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-67032000 = -1 · 26 · 32 · 53 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,57,381] |
[a1,a2,a3,a4,a6] |
Generators |
[1:20:1] |
Generators of the group modulo torsion |
j |
163667323/536256 |
j-invariant |
L |
6.2529890195543 |
L(r)(E,1)/r! |
Ω |
1.3836457716556 |
Real period |
R |
0.37660102677342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850cn1 19950bi1 |
Quadratic twists by: -3 5 |