Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240jk |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
109670400000000 = 218 · 32 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-366401,-85486401] |
[a1,a2,a3,a4,a6] |
Generators |
[-2790:141:8] |
Generators of the group modulo torsion |
j |
20751759537944401/418359375 |
j-invariant |
L |
8.2233886418117 |
L(r)(E,1)/r! |
Ω |
0.19404873622241 |
Real period |
R |
5.2972443809041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.000000010315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240q4 28560dc4 |
Quadratic twists by: -4 8 |