Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fg |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2485862400 = 214 · 3 · 52 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-561,-4335] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:17:1] |
Generators of the group modulo torsion |
j |
1193895376/151725 |
j-invariant |
L |
5.7419714361785 |
L(r)(E,1)/r! |
Ω |
0.98903113159079 |
Real period |
R |
2.9028264257748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046651 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240dr2 28560br2 |
Quadratic twists by: -4 8 |