Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
4928bg |
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] |
j |
-4194304/539 |
j-invariant |
L |
1.5596046661888 |
L(r)(E,1)/r! |
Ω |
0.77980233309442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4928b1 1232g1 44352ei1 123200em1 |
Quadratic twists by: -4 8 -3 5 |