Atkin-Lehner |
5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
42955f |
Isogeny class |
Conductor |
42955 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
2223936 |
Modular degree for the optimal curve |
Δ |
-2.2479945638074E+21 |
Discriminant |
Eigenvalues |
1 0 5- 3 11- 6 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1329586,-2203847277] |
[a1,a2,a3,a4,a6] |
Generators |
[1703366:121313067:343] |
Generators of the group modulo torsion |
j |
10021805673759/86669921875 |
j-invariant |
L |
8.3164667543482 |
L(r)(E,1)/r! |
Ω |
0.072297484800771 |
Real period |
R |
8.8485541873972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42955g1 |
Quadratic twists by: -11 |