Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19950dd |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
262080 |
Modular degree for the optimal curve |
Δ |
-460924800000000 = -1 · 213 · 3 · 58 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 5 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-847013,299974017] |
[a1,a2,a3,a4,a6] |
j |
-172041783999846385/1179967488 |
j-invariant |
L |
6.1206364015084 |
L(r)(E,1)/r! |
Ω |
0.47081818473141 |
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 |
59850ct1 19950h1 |
Quadratic twists by: -3 5 |