Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
79764f |
Isogeny class |
Conductor |
79764 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-500127340071168 = -1 · 28 · 32 · 177 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -4 2 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19556,216568] |
[a1,a2,a3,a4,a6] |
Generators |
[6:578:1] |
Generators of the group modulo torsion |
j |
133846832/80937 |
j-invariant |
L |
2.0562021781912 |
L(r)(E,1)/r! |
Ω |
0.32124686377799 |
Real period |
R |
0.53339098699276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4692d2 |
Quadratic twists by: 17 |