Atkin-Lehner |
2- 5- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
66950bi |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
111744 |
Modular degree for the optimal curve |
Δ |
-3657903632500 = -1 · 22 · 54 · 13 · 1034 |
Discriminant |
Eigenvalues |
2- 2 5- 1 -3 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3712,31381] |
[a1,a2,a3,a4,a6] |
j |
9050243934575/5852645812 |
j-invariant |
L |
5.9045567185166 |
L(r)(E,1)/r! |
Ω |
0.49204639320541 |
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 |
66950j1 |
Quadratic twists by: 5 |