Atkin-Lehner |
2+ 3- 7+ 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
76986m |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-38242520813952 = -1 · 27 · 310 · 72 · 133 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 13- 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,819,297189] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:432:1] |
Generators of the group modulo torsion |
j |
83281698863/52458876288 |
j-invariant |
L |
5.5296763922088 |
L(r)(E,1)/r! |
Ω |
0.50514605334279 |
Real period |
R |
0.9122240248438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25662y1 |
Quadratic twists by: -3 |