Atkin-Lehner |
2- 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
77376bi |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-66540527419392 = -1 · 223 · 39 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 1 0 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-392993,-94957473] |
[a1,a2,a3,a4,a6] |
Generators |
[871:14976:1] |
Generators of the group modulo torsion |
j |
-25605858405543625/253831968 |
j-invariant |
L |
8.4521809049335 |
L(r)(E,1)/r! |
Ω |
0.095339529623558 |
Real period |
R |
2.4625966150435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77376b1 19344m1 |
Quadratic twists by: -4 8 |