Atkin-Lehner |
2+ 3+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
15936b |
Isogeny class |
Conductor |
15936 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
146866176 = 216 · 33 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 0 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2977,-61535] |
[a1,a2,a3,a4,a6] |
Generators |
[21735:5440:343] |
Generators of the group modulo torsion |
j |
44537533348/2241 |
j-invariant |
L |
4.3354408550979 |
L(r)(E,1)/r! |
Ω |
0.64631465114427 |
Real period |
R |
6.7079414762178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15936x1 1992a1 47808z1 |
Quadratic twists by: -4 8 -3 |