Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
24276i |
Isogeny class |
Conductor |
24276 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-138976784481024 = -1 · 28 · 33 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 1 -7 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10019,418943] |
[a1,a2,a3,a4,a6] |
Generators |
[521:12138:1] |
Generators of the group modulo torsion |
j |
17997824/22491 |
j-invariant |
L |
5.4925738228685 |
L(r)(E,1)/r! |
Ω |
0.39043911441332 |
Real period |
R |
0.19538449075336 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97104bw1 72828m1 1428c1 |
Quadratic twists by: -4 -3 17 |