Atkin-Lehner |
2- 3- 7- 13- 67- |
Signs for the Atkin-Lehner involutions |
Class |
109746u |
Isogeny class |
Conductor |
109746 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
2156544 |
Modular degree for the optimal curve |
Δ |
59577298300735488 = 212 · 312 · 7 · 13 · 673 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5126585,-4466467879] |
[a1,a2,a3,a4,a6] |
j |
20439985897177861911625/81724689027072 |
j-invariant |
L |
3.6119779193299 |
L(r)(E,1)/r! |
Ω |
0.10033272896859 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36582d1 |
Quadratic twists by: -3 |