Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97682g |
Isogeny class |
Conductor |
97682 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8.129419086532E+31 |
Discriminant |
Eigenvalues |
2+ -2 4 -4 -2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-91601833769,10662152763441324] |
[a1,a2,a3,a4,a6] |
Generators |
[3363706987859347201243957360723637045075479110125158875485080319180:13661557206407627587250969607744829507927891044673727663808238558552721:203799031387900746840036458451266815829706595389544557592000] |
Generators of the group modulo torsion |
j |
729596217166155478587889/697759680872204288 |
j-invariant |
L |
4.023727724791 |
L(r)(E,1)/r! |
Ω |
0.019143153527419 |
Real period |
R |
105.09573877229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7514h2 5746d2 |
Quadratic twists by: 13 17 |