Atkin-Lehner |
3- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20097h |
Isogeny class |
Conductor |
20097 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1554394058404803 = 36 · 73 · 118 · 29 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 11- 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-480201,-127946386] |
[a1,a2,a3,a4,a6] |
Generators |
[44084066:-136212793:54872] |
Generators of the group modulo torsion |
j |
16798320881842096017/2132227789307 |
j-invariant |
L |
7.0168903268436 |
L(r)(E,1)/r! |
Ω |
0.18136231681155 |
Real period |
R |
9.6724755867211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2233a4 |
Quadratic twists by: -3 |