Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19950w |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
58530745153125000 = 23 · 32 · 58 · 78 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-86641251,-310416846602] |
[a1,a2,a3,a4,a6] |
Generators |
[46382:9746796:1] |
Generators of the group modulo torsion |
j |
4603390551972799451373601/3745967689800 |
j-invariant |
L |
4.573696500765 |
L(r)(E,1)/r! |
Ω |
0.049484407737596 |
Real period |
R |
5.7766889484388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850fg6 3990t5 |
Quadratic twists by: -3 5 |