Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240ko |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
Δ |
8562615183360000 = 214 · 310 · 54 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-62865,4100463] |
[a1,a2,a3,a4,a6] |
Generators |
[-99:3060:1] |
Generators of the group modulo torsion |
j |
1677016906383184/522620555625 |
j-invariant |
L |
10.594849409292 |
L(r)(E,1)/r! |
Ω |
0.38215844368912 |
Real period |
R |
0.69309271874723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019013 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240bm2 28560f2 |
Quadratic twists by: -4 8 |