Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742ch |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
20275200 |
Modular degree for the optimal curve |
Δ |
7.4207871697007E+22 |
Discriminant |
Eigenvalues |
2- 3- -1 3 11- 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-294746468,-1947577564537] |
[a1,a2,a3,a4,a6] |
Generators |
[-266937:268879:27] |
Generators of the group modulo torsion |
j |
26240674555395219529/687630974976 |
j-invariant |
L |
11.710651679036 |
L(r)(E,1)/r! |
Ω |
0.036436620158793 |
Real period |
R |
1.606989289462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009531 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34914l1 4554x1 |
Quadratic twists by: -3 -23 |