Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240je |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
394265731399680 = 217 · 3 · 5 · 74 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21441,-747201] |
[a1,a2,a3,a4,a6] |
Generators |
[-854:4641:8] |
Generators of the group modulo torsion |
j |
8317046918882/3008008815 |
j-invariant |
L |
9.2091315641977 |
L(r)(E,1)/r! |
Ω |
0.40642680527763 |
Real period |
R |
2.8323462610782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027752 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240i3 28560y3 |
Quadratic twists by: -4 8 |