Atkin-Lehner |
5+ 37- 83- |
Signs for the Atkin-Lehner involutions |
Class |
76775d |
Isogeny class |
Conductor |
76775 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
23520 |
Modular degree for the optimal curve |
Δ |
47984375 = 56 · 37 · 83 |
Discriminant |
Eigenvalues |
1 -2 5+ -2 2 1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-651,6323] |
[a1,a2,a3,a4,a6] |
Generators |
[11:17:1] |
Generators of the group modulo torsion |
j |
1948441249/3071 |
j-invariant |
L |
4.8121326295571 |
L(r)(E,1)/r! |
Ω |
2.0101628942917 |
Real period |
R |
2.3939018298101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3071a1 |
Quadratic twists by: 5 |