Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
106134bu |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
3151872 |
Modular degree for the optimal curve |
Δ |
-1007042000938146936 = -1 · 23 · 32 · 77 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 0 1 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3157855,2159137469] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:53172:1] |
Generators of the group modulo torsion |
j |
-1742943169/504 |
j-invariant |
L |
10.124528217639 |
L(r)(E,1)/r! |
Ω |
0.27138607036351 |
Real period |
R |
0.51814909706969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010743 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15162bc1 106134bd1 |
Quadratic twists by: -7 -19 |