Atkin-Lehner |
2- 3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
120666bz |
Isogeny class |
Conductor |
120666 |
Conductor |
∏ cp |
792 |
Product of Tamagawa factors cp |
deg |
20756736 |
Modular degree for the optimal curve |
Δ |
-1.00126646188E+24 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 0 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,17433276,39152599056] |
[a1,a2,a3,a4,a6] |
Generators |
[41640:8521116:1] |
Generators of the group modulo torsion |
j |
121394948260111009847/207438591806724096 |
j-invariant |
L |
16.650475529521 |
L(r)(E,1)/r! |
Ω |
0.060117011102819 |
Real period |
R |
0.34970680007229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050474 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9282n1 |
Quadratic twists by: 13 |