Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240gn |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
639488102400 = 212 · 32 · 52 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2521,30745] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:252:1] [-27:280:1] |
Generators of the group modulo torsion |
j |
432767422144/156125025 |
j-invariant |
L |
9.4721511279852 |
L(r)(E,1)/r! |
Ω |
0.83496642986963 |
Real period |
R |
1.4180437067413 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999981529 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240in2 57120cn1 |
Quadratic twists by: -4 8 |