Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
3776x |
Isogeny class |
Conductor |
3776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-7733248 = -1 · 217 · 59 |
Discriminant |
Eigenvalues |
2- 2 -2 -1 1 1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,31,-127] |
[a1,a2,a3,a4,a6] |
Generators |
[13:48:1] |
Generators of the group modulo torsion |
j |
24334/59 |
j-invariant |
L |
4.2857682304113 |
L(r)(E,1)/r! |
Ω |
1.2103501293127 |
Real period |
R |
0.88523315002349 |
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 |
3776d1 944c1 33984bm1 94400cx1 |
Quadratic twists by: -4 8 -3 5 |