Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960bk |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8954064000000000000 = 216 · 35 · 512 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-764085336,-8129190568464] |
[a1,a2,a3,a4,a6] |
Generators |
[-1385276224779953030233156657746:-2964273095525057186369468750:86803341301263526428427119] |
Generators of the group modulo torsion |
j |
12044516187264128150490208729/2186050781250000 |
j-invariant |
L |
4.4938343336902 |
L(r)(E,1)/r! |
Ω |
0.028715348300789 |
Real period |
R |
39.123975515907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870g4 |
Quadratic twists by: -4 |