Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97682f |
Isogeny class |
Conductor |
97682 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
875436868748929994 = 2 · 137 · 178 |
Discriminant |
Eigenvalues |
2+ -2 -2 2 4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6789917,-6810380250] |
[a1,a2,a3,a4,a6] |
Generators |
[394644:27389141:64] |
Generators of the group modulo torsion |
j |
297141543217/7514 |
j-invariant |
L |
2.7938001437214 |
L(r)(E,1)/r! |
Ω |
0.093526375670599 |
Real period |
R |
7.4679472326362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999651027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7514g2 5746c2 |
Quadratic twists by: 13 17 |