Atkin-Lehner |
2- 3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
28140d |
Isogeny class |
Conductor |
28140 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-1034575893750000 = -1 · 24 · 3 · 58 · 77 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 -5 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-129766,-18015659] |
[a1,a2,a3,a4,a6] |
j |
-15103925323442662144/64660993359375 |
j-invariant |
L |
1.7603370619357 |
L(r)(E,1)/r! |
Ω |
0.12573836156684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112560cd1 84420bb1 |
Quadratic twists by: -4 -3 |