Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350cx |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
665280 |
Modular degree for the optimal curve |
Δ |
-1.838127404575E+19 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11- 0 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-301555,215972947] |
[a1,a2,a3,a4,a6] |
Generators |
[2269:104740:1] |
Generators of the group modulo torsion |
j |
-7243533/43904 |
j-invariant |
L |
8.5384514678369 |
L(r)(E,1)/r! |
Ω |
0.18802785343762 |
Real period |
R |
0.36040132672379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42350bg1 42350bf1 |
Quadratic twists by: 5 -11 |