Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344en |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
263061959171162112 = 214 · 39 · 138 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-902460,329057872] |
[a1,a2,a3,a4,a6] |
Generators |
[524:216:1] |
Generators of the group modulo torsion |
j |
1409938000/4563 |
j-invariant |
L |
7.5114812455109 |
L(r)(E,1)/r! |
Ω |
0.31163651608513 |
Real period |
R |
3.0129176370435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000311 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344y2 24336bh2 32448cy2 7488bp2 |
Quadratic twists by: -4 8 -3 13 |