Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344cd |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
46841516946432 = 210 · 36 · 137 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 2 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24336,1423656] |
[a1,a2,a3,a4,a6] |
Generators |
[130:-676:1] [66:324:1] |
Generators of the group modulo torsion |
j |
442368/13 |
j-invariant |
L |
10.895666597853 |
L(r)(E,1)/r! |
Ω |
0.63459934631067 |
Real period |
R |
2.1461703873987 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986574 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97344fm1 6084i1 10816c1 7488bb1 |
Quadratic twists by: -4 8 -3 13 |