Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106134cz |
Isogeny class |
Conductor |
106134 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
5008708899402888708 = 22 · 35 · 78 · 197 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1618912,785354492] |
[a1,a2,a3,a4,a6] |
Generators |
[68:25958:1] |
Generators of the group modulo torsion |
j |
84778086457/904932 |
j-invariant |
L |
16.208890697809 |
L(r)(E,1)/r! |
Ω |
0.2438418469503 |
Real period |
R |
1.6618241376998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009918 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15162s1 5586d1 |
Quadratic twists by: -7 -19 |