Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39360cl |
Isogeny class |
Conductor |
39360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-313714944000000 = -1 · 214 · 36 · 56 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 6 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8719,795375] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-984:1] |
Generators of the group modulo torsion |
j |
4473567501104/19147640625 |
j-invariant |
L |
8.2191160684732 |
L(r)(E,1)/r! |
Ω |
0.38890208909455 |
Real period |
R |
0.88058968856918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39360f2 9840t2 118080gj2 |
Quadratic twists by: -4 8 -3 |