Atkin-Lehner |
2+ 3+ 7+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
76986b |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1181952 |
Modular degree for the optimal curve |
Δ |
-1227024027822587904 = -1 · 218 · 39 · 72 · 133 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-156021,58374197] |
[a1,a2,a3,a4,a6] |
Generators |
[157:6064:1] |
Generators of the group modulo torsion |
j |
-21339446807735811/62339278962688 |
j-invariant |
L |
5.8175700556245 |
L(r)(E,1)/r! |
Ω |
0.2403276398059 |
Real period |
R |
2.0172357415746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985692 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76986s1 |
Quadratic twists by: -3 |