Atkin-Lehner |
2- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
8954h |
Isogeny class |
Conductor |
8954 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-505386840403456 = -1 · 29 · 117 · 373 |
Discriminant |
Eigenvalues |
2- -2 -3 -2 11- -2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5992,1095744] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:182:1] [-96:936:1] |
Generators of the group modulo torsion |
j |
-13430356633/285277696 |
j-invariant |
L |
5.2585037280458 |
L(r)(E,1)/r! |
Ω |
0.43919050271492 |
Real period |
R |
0.1108627099921 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71632s2 80586r2 814a2 |
Quadratic twists by: -4 -3 -11 |