Atkin-Lehner |
2- 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
77376bt |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-233051004066816 = -1 · 210 · 32 · 138 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 0 13- 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14703,-257049] |
[a1,a2,a3,a4,a6] |
Generators |
[338:6591:1] |
Generators of the group modulo torsion |
j |
343251219630848/227588871159 |
j-invariant |
L |
6.0603075931837 |
L(r)(E,1)/r! |
Ω |
0.31742708280876 |
Real period |
R |
1.1932479778518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77376j1 19344d1 |
Quadratic twists by: -4 8 |