Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
106134ba |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4727808 |
Modular degree for the optimal curve |
Δ |
-1.1102638060343E+20 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 4 -3 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1981537,-1187459878] |
[a1,a2,a3,a4,a6] |
Generators |
[3709030:34880201:2197] |
Generators of the group modulo torsion |
j |
-430638553/55566 |
j-invariant |
L |
8.8259236606109 |
L(r)(E,1)/r! |
Ω |
0.063168696569456 |
Real period |
R |
8.7324934454005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000742 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162c1 106134cg1 |
Quadratic twists by: -7 -19 |