Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
106134bx |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-427598413891614 = -1 · 2 · 314 · 73 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 4 -5 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,18584,205127] |
[a1,a2,a3,a4,a6] |
Generators |
[126820:5612229:8000] |
Generators of the group modulo torsion |
j |
15879298697/9565938 |
j-invariant |
L |
8.0351395885351 |
L(r)(E,1)/r! |
Ω |
0.32506819061839 |
Real period |
R |
6.1795800123069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018676 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106134cl2 106134bg1 |
Quadratic twists by: -7 -19 |