Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850fr |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
4189676796900000000 = 28 · 38 · 58 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-484880,84917747] |
[a1,a2,a3,a4,a6] |
Generators |
[-315:14521:1] |
Generators of the group modulo torsion |
j |
1106822887395121/367817990400 |
j-invariant |
L |
9.9382898114793 |
L(r)(E,1)/r! |
Ω |
0.22711306792734 |
Real period |
R |
0.68373775107374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19950z2 11970t2 |
Quadratic twists by: -3 5 |