Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240jh |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
100736649216000 = 214 · 310 · 53 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 0 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47601,-3983985] |
[a1,a2,a3,a4,a6] |
Generators |
[-126:171:1] |
Generators of the group modulo torsion |
j |
728049865233616/6148477125 |
j-invariant |
L |
8.547103958558 |
L(r)(E,1)/r! |
Ω |
0.32338213327612 |
Real period |
R |
2.6430353082077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240m2 28560ba2 |
Quadratic twists by: -4 8 |