Atkin-Lehner |
2- 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
39780p |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1005320160000 = 28 · 37 · 54 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 13+ 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3423,-60122] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:126:1] [-33:130:1] |
Generators of the group modulo torsion |
j |
23767139536/5386875 |
j-invariant |
L |
7.5053407034877 |
L(r)(E,1)/r! |
Ω |
0.63430710849741 |
Real period |
R |
1.9720575419865 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13260n2 |
Quadratic twists by: -3 |