Atkin-Lehner |
2- 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
101136bp |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-3978486349824 = -1 · 218 · 3 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -1 3 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1944,-90768] |
[a1,a2,a3,a4,a6] |
j |
1685159/8256 |
j-invariant |
L |
0.78812589153896 |
L(r)(E,1)/r! |
Ω |
0.39406286554377 |
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 |
12642n1 2064l1 |
Quadratic twists by: -4 -7 |