Atkin-Lehner |
2+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
4928b |
Isogeny class |
Conductor |
4928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-8830976 = -1 · 214 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 1 1 7+ 11+ 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85,307] |
[a1,a2,a3,a4,a6] |
Generators |
[6:7:1] |
Generators of the group modulo torsion |
j |
-4194304/539 |
j-invariant |
L |
4.4999393614421 |
L(r)(E,1)/r! |
Ω |
2.245920497626 |
Real period |
R |
1.0018029058016 |
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 |
4928bg1 308a1 44352bj1 123200bo1 |
Quadratic twists by: -4 8 -3 5 |