Atkin-Lehner |
2- 3+ 5- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
116280bf |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-90140256000 = -1 · 28 · 33 · 53 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1167,21074] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:138:1] [-22:190:1] |
Generators of the group modulo torsion |
j |
-25429191408/13041125 |
j-invariant |
L |
11.538922465044 |
L(r)(E,1)/r! |
Ω |
0.99915441579605 |
Real period |
R |
0.48119532734854 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999971459 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116280a1 |
Quadratic twists by: -3 |