Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
9540b |
Isogeny class |
Conductor |
9540 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1824 |
Modular degree for the optimal curve |
Δ |
-1831680 = -1 · 28 · 33 · 5 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 2 -4 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72,244] |
[a1,a2,a3,a4,a6] |
Generators |
[5:3:1] |
Generators of the group modulo torsion |
j |
-5971968/265 |
j-invariant |
L |
5.3312561583656 |
L(r)(E,1)/r! |
Ω |
2.6160287316462 |
Real period |
R |
1.0189597869995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38160bc1 9540a1 47700b1 |
Quadratic twists by: -4 -3 5 |