Atkin-Lehner |
3+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
867a |
Isogeny class |
Conductor |
867 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-355763629491 = -1 · 3 · 179 |
Discriminant |
Eigenvalues |
0 3+ -3 4 3 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-17147,-859018] |
[a1,a2,a3,a4,a6] |
Generators |
[1578:14735:8] |
Generators of the group modulo torsion |
j |
-23100424192/14739 |
j-invariant |
L |
1.6987250822621 |
L(r)(E,1)/r! |
Ω |
0.20859495104453 |
Real period |
R |
2.0359134698081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13872bn2 55488bp2 2601g2 21675p2 |
Quadratic twists by: -4 8 -3 5 |