Atkin-Lehner |
2+ 7- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
78694h |
Isogeny class |
Conductor |
78694 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66048 |
Modular degree for the optimal curve |
Δ |
-10580880464 = -1 · 24 · 77 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- 11+ 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3554,-81980] |
[a1,a2,a3,a4,a6] |
Generators |
[865:24949:1] |
Generators of the group modulo torsion |
j |
-42180533641/89936 |
j-invariant |
L |
5.147475156455 |
L(r)(E,1)/r! |
Ω |
0.30913583974464 |
Real period |
R |
4.1627939058166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11242a1 |
Quadratic twists by: -7 |