Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742cn |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
24330240 |
Modular degree for the optimal curve |
Δ |
1.4939272781595E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 11- -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-209919731,-1170585269805] |
[a1,a2,a3,a4,a6] |
Generators |
[-8341:4962:1] |
Generators of the group modulo torsion |
j |
9479576797126950457/138431496192 |
j-invariant |
L |
7.4418190829881 |
L(r)(E,1)/r! |
Ω |
0.039663096818565 |
Real period |
R |
1.9544351159211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999423038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34914e1 4554bc1 |
Quadratic twists by: -3 -23 |