Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1968m |
Isogeny class |
Conductor |
1968 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
288 |
Modular degree for the optimal curve |
Δ |
-503808 = -1 · 212 · 3 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -5 -4 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11,35] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:3:1] |
Generators of the group modulo torsion |
j |
32768/123 |
j-invariant |
L |
3.3174574556246 |
L(r)(E,1)/r! |
Ω |
2.0915575460281 |
Real period |
R |
1.5861181835157 |
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 |
123b1 7872t1 5904t1 49200bs1 |
Quadratic twists by: -4 8 -3 5 |