Atkin-Lehner |
2+ 3- 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
117810bb |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1.4455821730314E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 0 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-124959105,534560657085] |
[a1,a2,a3,a4,a6] |
Generators |
[-9882:6635925:8] [4071:303429:1] |
Generators of the group modulo torsion |
j |
296005583870529100551582481/1982965943801587409280 |
j-invariant |
L |
8.5341867197372 |
L(r)(E,1)/r! |
Ω |
0.08561726158698 |
Real period |
R |
4.9839171243757 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999958135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270cq2 |
Quadratic twists by: -3 |