Atkin-Lehner |
3+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
77163a |
Isogeny class |
Conductor |
77163 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-51048713641083 = -1 · 3 · 176 · 893 |
Discriminant |
Eigenvalues |
0 3+ 0 -2 -6 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,7707,-226975] |
[a1,a2,a3,a4,a6] |
Generators |
[490:5487:8] |
Generators of the group modulo torsion |
j |
2097152000/2114907 |
j-invariant |
L |
2.3263204469021 |
L(r)(E,1)/r! |
Ω |
0.34398743685813 |
Real period |
R |
3.3814032153726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999863405 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
267a2 |
Quadratic twists by: 17 |