Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19950cv |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
125 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
-62078335200 = -1 · 25 · 35 · 52 · 75 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-728,14112] |
[a1,a2,a3,a4,a6] |
j |
-1706927698345/2483133408 |
j-invariant |
L |
4.9788630580763 |
L(r)(E,1)/r! |
Ω |
0.99577261161525 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
59850cc1 19950o2 |
Quadratic twists by: -3 5 |