Atkin-Lehner |
2+ 5- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850bj |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4354560 |
Modular degree for the optimal curve |
Δ |
-74264575933520000 = -1 · 27 · 54 · 76 · 534 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- -3 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1072717,-427570459] |
[a1,a2,a3,a4,a6] |
j |
-1856569331248425/1009981568 |
j-invariant |
L |
1.7801041466586 |
L(r)(E,1)/r! |
Ω |
0.0741709904816 |
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 |
129850cm1 2650e1 |
Quadratic twists by: 5 -7 |