Atkin-Lehner |
2- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
43610w |
Isogeny class |
Conductor |
43610 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
-1047076100000 = -1 · 25 · 55 · 76 · 89 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,489,-49015] |
[a1,a2,a3,a4,a6] |
j |
109902239/8900000 |
j-invariant |
L |
4.1617846100424 |
L(r)(E,1)/r! |
Ω |
0.41617846101075 |
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 |
890g1 |
Quadratic twists by: -7 |