Atkin-Lehner |
7- 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
66101k |
Isogeny class |
Conductor |
66101 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10248 |
Modular degree for the optimal curve |
Δ |
-4693171 = -1 · 72 · 19 · 712 |
Discriminant |
Eigenvalues |
0 2 1 7- 4 -4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,5,-106] |
[a1,a2,a3,a4,a6] |
j |
229376/95779 |
j-invariant |
L |
2.2874471230557 |
L(r)(E,1)/r! |
Ω |
1.1437235661458 |
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 |
66101b1 |
Quadratic twists by: -7 |