Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fn |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
67655231078400 = 218 · 36 · 52 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21761,1177761] |
[a1,a2,a3,a4,a6] |
Generators |
[-155:896:1] |
Generators of the group modulo torsion |
j |
4347507044161/258084225 |
j-invariant |
L |
5.9598117548837 |
L(r)(E,1)/r! |
Ω |
0.6081999406193 |
Real period |
R |
2.4497748872867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999848484 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240ea2 28560dw2 |
Quadratic twists by: -4 8 |