Atkin-Lehner |
2- 3- 7+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
76986bi |
Isogeny class |
Conductor |
76986 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
18708480 |
Modular degree for the optimal curve |
Δ |
-6.6855662774837E+22 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ -3 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-116121371,481822783629] |
[a1,a2,a3,a4,a6] |
Generators |
[434324:4858383:64] |
Generators of the group modulo torsion |
j |
-237537753320793815727305833/91708728086195679186 |
j-invariant |
L |
12.252639877878 |
L(r)(E,1)/r! |
Ω |
0.10809080917302 |
Real period |
R |
4.0483949070778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25662d1 |
Quadratic twists by: -3 |