Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10764l |
Isogeny class |
Conductor |
10764 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
721919952 = 24 · 38 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 4 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20640,1141333] |
[a1,a2,a3,a4,a6] |
Generators |
[131:828:1] |
Generators of the group modulo torsion |
j |
83369132032000/61893 |
j-invariant |
L |
4.4491190989001 |
L(r)(E,1)/r! |
Ω |
1.3325958945697 |
Real period |
R |
1.6693429407333 |
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 |
43056bi1 3588f1 |
Quadratic twists by: -4 -3 |