Atkin-Lehner |
2+ 3+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
77256c |
Isogeny class |
Conductor |
77256 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
54784 |
Modular degree for the optimal curve |
Δ |
-23479489008 = -1 · 24 · 33 · 29 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -5 -3 -3 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,525,-5737] |
[a1,a2,a3,a4,a6] |
Generators |
[11:37:1] |
Generators of the group modulo torsion |
j |
37044000000/54350669 |
j-invariant |
L |
3.2876033626342 |
L(r)(E,1)/r! |
Ω |
0.63630031957103 |
Real period |
R |
0.32292174586853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003507 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77256i1 |
Quadratic twists by: -3 |