Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
39710k |
Isogeny class |
Conductor |
39710 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-42560955822550 = -1 · 2 · 52 · 119 · 192 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 11+ 1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4282,330114] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:633:1] |
Generators of the group modulo torsion |
j |
-24061071481921/117897384550 |
j-invariant |
L |
5.2724706040652 |
L(r)(E,1)/r! |
Ω |
0.55745278078742 |
Real period |
R |
4.7290737312466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39710z2 |
Quadratic twists by: -19 |