Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
35574cx |
Isogeny class |
Conductor |
35574 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-57196936923064092 = -1 · 22 · 34 · 77 · 118 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- -2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,26557,-11383107] |
[a1,a2,a3,a4,a6] |
Generators |
[1594:63091:1] |
Generators of the group modulo torsion |
j |
9938375/274428 |
j-invariant |
L |
10.602825275637 |
L(r)(E,1)/r! |
Ω |
0.17032937985251 |
Real period |
R |
3.8905594578051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106722cp1 5082t1 3234k1 |
Quadratic twists by: -3 -7 -11 |