Atkin-Lehner |
2- 3- 7- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
76986bm |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
10160640 |
Modular degree for the optimal curve |
Δ |
-1.8916860696776E+23 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 3 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2044751,20956580219] |
[a1,a2,a3,a4,a6] |
Generators |
[137274255:13228461548:91125] |
Generators of the group modulo torsion |
j |
-1296932198474723107753/259490544537392378756 |
j-invariant |
L |
14.216150388772 |
L(r)(E,1)/r! |
Ω |
0.082341592794815 |
Real period |
R |
14.387372878581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554i1 |
Quadratic twists by: -3 |