Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
56628ba |
Isogeny class |
Conductor |
56628 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
2220044112 = 24 · 36 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11- 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1452,-21175] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:11:1] |
Generators of the group modulo torsion |
j |
1982464/13 |
j-invariant |
L |
3.7054716677229 |
L(r)(E,1)/r! |
Ω |
0.77371227564139 |
Real period |
R |
0.53213460243679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6292j1 56628s1 |
Quadratic twists by: -3 -11 |