Atkin-Lehner |
2+ 3- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
77376s |
Isogeny class |
Conductor |
77376 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-5704777728 = -1 · 219 · 33 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -4 3 4 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-705,7839] |
[a1,a2,a3,a4,a6] |
Generators |
[27:96:1] |
Generators of the group modulo torsion |
j |
-148035889/21762 |
j-invariant |
L |
6.5658311993431 |
L(r)(E,1)/r! |
Ω |
1.3053664103282 |
Real period |
R |
0.41915633503251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999911826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77376ba1 2418c1 |
Quadratic twists by: -4 8 |