Atkin-Lehner |
2+ 3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810x |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.0624502626678E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3590436465,-82806470680419] |
[a1,a2,a3,a4,a6] |
Generators |
[715055335514558265:-270154640559261975333:4285472700907] |
Generators of the group modulo torsion |
j |
7021629693760433841743261786641/2829149880202800000 |
j-invariant |
L |
3.8096555620266 |
L(r)(E,1)/r! |
Ω |
0.019503508466072 |
Real period |
R |
24.416475832211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000180439 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270cu4 |
Quadratic twists by: -3 |