Atkin-Lehner |
2- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850cy |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2506752 |
Modular degree for the optimal curve |
Δ |
-11934939570312500 = -1 · 22 · 510 · 78 · 53 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -6 -3 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-60255,-7733253] |
[a1,a2,a3,a4,a6] |
j |
-13160971881/6492500 |
j-invariant |
L |
1.190953265963 |
L(r)(E,1)/r! |
Ω |
0.14886900819344 |
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 |
25970e1 18550s1 |
Quadratic twists by: 5 -7 |