Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
19950bl |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
291200 |
Modular degree for the optimal curve |
Δ |
-39758429812500000 = -1 · 25 · 314 · 59 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -1 -5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-922701,-341356952] |
[a1,a2,a3,a4,a6] |
Generators |
[2402:105111:1] |
Generators of the group modulo torsion |
j |
-44481146267173013/20356316064 |
j-invariant |
L |
4.4131216828153 |
L(r)(E,1)/r! |
Ω |
0.077018037121673 |
Real period |
R |
2.0464230790897 |
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 |
59850go1 19950cg1 |
Quadratic twists by: -3 5 |