Atkin-Lehner |
2- 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608cz |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2235727872 = 215 · 33 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 0 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-972,11440] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:72:1] [-18:152:1] |
Generators of the group modulo torsion |
j |
114791256/2527 |
j-invariant |
L |
7.6123096574207 |
L(r)(E,1)/r! |
Ω |
1.4590220081752 |
Real period |
R |
1.3043514105293 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999925 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608ds2 38304c2 76608cy2 |
Quadratic twists by: -4 8 -3 |