Atkin-Lehner |
2+ 3- 7+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
76986f |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
-50633917299673344 = -1 · 28 · 36 · 7 · 132 · 475 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -1 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1569345,757173437] |
[a1,a2,a3,a4,a6] |
Generators |
[1013:13852:1] |
Generators of the group modulo torsion |
j |
-586342836493501890321/69456676679936 |
j-invariant |
L |
3.5466308635777 |
L(r)(E,1)/r! |
Ω |
0.34238520967444 |
Real period |
R |
0.517929916886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993913 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554m1 |
Quadratic twists by: -3 |