Atkin-Lehner |
2+ 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
1872h |
Isogeny class |
Conductor |
1872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
1364688 = 24 · 38 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 0 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-354,2563] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:54:1] |
Generators of the group modulo torsion |
j |
420616192/117 |
j-invariant |
L |
3.0177014042468 |
L(r)(E,1)/r! |
Ω |
2.6442647368056 |
Real period |
R |
1.1412251437019 |
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 |
936i1 7488bu1 624f1 46800w1 |
Quadratic twists by: -4 8 -3 5 |