Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608bu |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6674662600704 = -1 · 212 · 36 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3204,-142560] |
[a1,a2,a3,a4,a6] |
Generators |
[127536552:-1097337285:1124864] |
Generators of the group modulo torsion |
j |
-1218186432/2235331 |
j-invariant |
L |
7.9043735584224 |
L(r)(E,1)/r! |
Ω |
0.29907847733246 |
Real period |
R |
13.214547614722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608cf2 38304bj1 8512a2 |
Quadratic twists by: -4 8 -3 |