Atkin-Lehner |
2+ 3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
66066v |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
1399440 |
Modular degree for the optimal curve |
Δ |
-5309388392726081664 = -1 · 27 · 37 · 77 · 116 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11- 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,86391,110436940] |
[a1,a2,a3,a4,a6] |
j |
40251338884511/2997011332224 |
j-invariant |
L |
1.2919712714573 |
L(r)(E,1)/r! |
Ω |
0.18456732414146 |
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 |
546f1 |
Quadratic twists by: -11 |