Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106134dg |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-4737932563896 = -1 · 23 · 314 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -6 3 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7617,275841] |
[a1,a2,a3,a4,a6] |
Generators |
[60:159:1] |
Generators of the group modulo torsion |
j |
-394709719231/38263752 |
j-invariant |
L |
8.9974643697356 |
L(r)(E,1)/r! |
Ω |
0.75303184320076 |
Real period |
R |
0.14224188780552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010618 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106134ch1 106134i1 |
Quadratic twists by: -7 -19 |