Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742ci |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
4423133832037866 = 2 · 310 · 11 · 237 |
Discriminant |
Eigenvalues |
2- 3- -1 3 11- 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-135788,19025493] |
[a1,a2,a3,a4,a6] |
Generators |
[-642:43695:8] |
Generators of the group modulo torsion |
j |
2565726409/40986 |
j-invariant |
L |
12.119427188904 |
L(r)(E,1)/r! |
Ω |
0.43711891889303 |
Real period |
R |
3.46571226173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010372 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34914b1 4554y1 |
Quadratic twists by: -3 -23 |