Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19950cs |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-15960000000 = -1 · 29 · 3 · 57 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3563,-82383] |
[a1,a2,a3,a4,a6] |
j |
-320153881321/1021440 |
j-invariant |
L |
5.5603804149869 |
L(r)(E,1)/r! |
Ω |
0.30891002305483 |
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 |
59850bx1 3990f1 |
Quadratic twists by: -3 5 |