Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19950cr |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
11044008281250 = 2 · 312 · 57 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-177713,-28849833] |
[a1,a2,a3,a4,a6] |
j |
39724773881792329/706816530 |
j-invariant |
L |
5.5806071055174 |
L(r)(E,1)/r! |
Ω |
0.23252529606323 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850bt4 3990a3 |
Quadratic twists by: -3 5 |