Atkin-Lehner |
2+ 3- 7+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
102942l |
Isogeny class |
Conductor |
102942 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11590656 |
Modular degree for the optimal curve |
Δ |
-3.2496867409302E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -3 -1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10867878,16293487284] |
[a1,a2,a3,a4,a6] |
Generators |
[-3876:15186:1] |
Generators of the group modulo torsion |
j |
-194728926540443897058913/44577321549110525952 |
j-invariant |
L |
2.2982748608816 |
L(r)(E,1)/r! |
Ω |
0.11155297836629 |
Real period |
R |
5.1506354012667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999256874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34314s1 |
Quadratic twists by: -3 |