Atkin-Lehner |
2- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880cp |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-17405082337280000 = -1 · 225 · 54 · 112 · 193 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 11- 3 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-214081,-38578975] |
[a1,a2,a3,a4,a6] |
j |
-4139236042638481/66395120000 |
j-invariant |
L |
2.6608617210071 |
L(r)(E,1)/r! |
Ω |
0.11086923807241 |
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 |
66880a1 16720bc1 |
Quadratic twists by: -4 8 |